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Amusements in Mathematics
Amusements in Mathematics

Chapter VIII

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Context Illustration Reading 1/80 · 5 lines
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283.--THE FIFTEEN DOMINOES.
In this case we do not use the complete set of twenty-eight dominoes to be found in the ordinary box.
We dispense with all those dominoes that have a five or a six on them and limit ourselves to the fifteen that remain, where the double-four is the highest.
In how many different ways may the fifteen dominoes be arranged in a straight line in accordance with the simple rule of the game that a number must always be placed against a similar number--that is, a four against a four, a blank against a blank, and so on?
Left to right and right to left of the same arrangement are to be counted as two different ways.
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LEARNER DICTIONARY
Archivist
/ˈɑːrkɪvɪst/
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A keeper or guardian of historical records and memories.

Amusements in Mathematics

Chapter VIII

Reading 1/80 · 5 reading units · Lines 1–5

Line 1
283.--THE FIFTEEN DOMINOES.
Line 2
In this case we do not use the complete set of twenty-eight dominoes to be found in the ordinary box.
Line 3
We dispense with all those dominoes that have a five or a six on them and limit ourselves to the fifteen that remain, where the double-four is the highest.
Line 4
In how many different ways may the fifteen dominoes be arranged in a straight line in accordance with the simple rule of the game that a number must always be placed against a similar number--that is, a four against a four, a blank against a blank, and so on?
Line 5
Left to right and right to left of the same arrangement are to be counted as two different ways.

Learner Dictionary

Oxford-style entry order: headword, part of speech, US IPA, concise definition, contextual example, audio, and collocations from this reading.

Against preposition US /əˈɡenst/

touching and pressing; in opposition to

From this reading “In how many different ways may the fifteen dominoes be arranged in a straight line in accordance with the simple rule of the game that a number must always be placed against a similar number--that is, a four against a four, a blank against a blank, and so on?”

Complete noun US /complete/

an important story-specific word used in this passage

From this reading “In this case we do not use the complete set of twenty-eight dominoes to be found in the ordinary box.”

Different noun US /ˈdifferent/

a story-specific word describing an important person, object, action, or idea in this passage

From this reading “In how many different ways may the fifteen dominoes be arranged in a straight line in accordance with the simple rule of the game that a number must always be placed against a similar number--that is, a four against a four, a blank against a blank, and so on?”

Found noun US /found/

an important story-specific word used in this passage

From this reading “In this case we do not use the complete set of twenty-eight dominoes to be found in the ordinary box.”

Have auxiliary verb US /hæv/

used with a past participle to form the perfect tenses

From this reading “We dispense with all those dominoes that have a five or a six on them and limit ourselves to the fifteen that remain, where the double-four is the highest.”

Left noun US /left/

an important story-specific word used in this passage

From this reading “Left to right and right to left of the same arrangement are to be counted as two different ways.”

May modal verb US /meɪ/

used to say something is possible, or to give permission

From this reading “In how many different ways may the fifteen dominoes be arranged in a straight line in accordance with the simple rule of the game that a number must always be placed against a similar number--that is, a four against a four, a blank against a blank, and so on?”

Must modal verb US /mʌst/

used to say something is necessary, or almost certainly true

From this reading “In how many different ways may the fifteen dominoes be arranged in a straight line in accordance with the simple rule of the game that a number must always be placed against a similar number--that is, a four against a four, a blank against a blank, and so on?”

Ourselves pronoun US /aʊərˈselvz/

used when we are both doing the action and receiving it

From this reading “We dispense with all those dominoes that have a five or a six on them and limit ourselves to the fifteen that remain, where the double-four is the highest.”

Right noun US /right/

an important story-specific word used in this passage

From this reading “Left to right and right to left of the same arrangement are to be counted as two different ways.”

Same noun US /same/

an important story-specific word used in this passage

From this reading “Left to right and right to left of the same arrangement are to be counted as two different ways.”

Those determiner US /ðoʊz/

the plural of “that”: the people or things further away, or already known

From this reading “We dispense with all those dominoes that have a five or a six on them and limit ourselves to the fifteen that remain, where the double-four is the highest.”

All words in this reading · 69

Every word is available to listen to. Dictionary details are shown only when verified; these are not licensed Oxford entries.

283

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading 283.--THE FIFTEEN DOMINOES.

adeterminerUS /ə/

used before a singular noun to mean one of a group, when it is not a particular one

From this reading We dispense with all those dominoes that have a five or a six on them and limit ourselves to the fifteen that remain, where the double-four is the highest.

accordance

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading In how many different ways may the fifteen dominoes be arranged in a straight line in accordance with the simple rule of the game that a number must always be placed against a similar number--that is, a four against a four, a blank against a blank, and so on?

againstprepositionUS /əˈɡenst/

touching and pressing; in opposition to

From this reading In how many different ways may the fifteen dominoes be arranged in a straight line in accordance with the simple rule of the game that a number must always be placed against a similar number--that is, a four against a four, a blank against a blank, and so on?

all

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading We dispense with all those dominoes that have a five or a six on them and limit ourselves to the fifteen that remain, where the double-four is the highest.

always

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading In how many different ways may the fifteen dominoes be arranged in a straight line in accordance with the simple rule of the game that a number must always be placed against a similar number--that is, a four against a four, a blank against a blank, and so on?

andconjunctionUS /ənd/

used to join words or parts of a sentence that go together

From this reading We dispense with all those dominoes that have a five or a six on them and limit ourselves to the fifteen that remain, where the double-four is the highest.

areauxiliary verbUS /ɑːr/

the form of “be” used with you, we, they, or a plural noun

From this reading Left to right and right to left of the same arrangement are to be counted as two different ways.

arranged

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading In how many different ways may the fifteen dominoes be arranged in a straight line in accordance with the simple rule of the game that a number must always be placed against a similar number--that is, a four against a four, a blank against a blank, and so on?

arrangement

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading Left to right and right to left of the same arrangement are to be counted as two different ways.

asconjunctionUS /æz/

at the same time that; because; in the way that

From this reading Left to right and right to left of the same arrangement are to be counted as two different ways.

beauxiliary verbUS /biː/

used with a past participle to form the passive, or with -ing for continuous tenses

From this reading In this case we do not use the complete set of twenty-eight dominoes to be found in the ordinary box.

blank

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading In how many different ways may the fifteen dominoes be arranged in a straight line in accordance with the simple rule of the game that a number must always be placed against a similar number--that is, a four against a four, a blank against a blank, and so on?

box

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading In this case we do not use the complete set of twenty-eight dominoes to be found in the ordinary box.

case

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading In this case we do not use the complete set of twenty-eight dominoes to be found in the ordinary box.

completenounUS /complete/

an important story-specific word used in this passage

From this reading In this case we do not use the complete set of twenty-eight dominoes to be found in the ordinary box.

counted

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading Left to right and right to left of the same arrangement are to be counted as two different ways.

differentnounUS /ˈdifferent/

a story-specific word describing an important person, object, action, or idea in this passage

From this reading In how many different ways may the fifteen dominoes be arranged in a straight line in accordance with the simple rule of the game that a number must always be placed against a similar number--that is, a four against a four, a blank against a blank, and so on?

dispense

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading We dispense with all those dominoes that have a five or a six on them and limit ourselves to the fifteen that remain, where the double-four is the highest.

doauxiliary verbUS /duː/

used to form questions and negatives, and to give emphasis

From this reading In this case we do not use the complete set of twenty-eight dominoes to be found in the ordinary box.

DOMINOES

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading 283.--THE FIFTEEN DOMINOES.

double-four

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading We dispense with all those dominoes that have a five or a six on them and limit ourselves to the fifteen that remain, where the double-four is the highest.

FIFTEEN

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading 283.--THE FIFTEEN DOMINOES.

five

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading We dispense with all those dominoes that have a five or a six on them and limit ourselves to the fifteen that remain, where the double-four is the highest.

foundnounUS /found/

an important story-specific word used in this passage

From this reading In this case we do not use the complete set of twenty-eight dominoes to be found in the ordinary box.

four

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading In how many different ways may the fifteen dominoes be arranged in a straight line in accordance with the simple rule of the game that a number must always be placed against a similar number--that is, a four against a four, a blank against a blank, and so on?

game

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading In how many different ways may the fifteen dominoes be arranged in a straight line in accordance with the simple rule of the game that a number must always be placed against a similar number--that is, a four against a four, a blank against a blank, and so on?

haveauxiliary verbUS /hæv/

used with a past participle to form the perfect tenses

From this reading We dispense with all those dominoes that have a five or a six on them and limit ourselves to the fifteen that remain, where the double-four is the highest.

highest

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading We dispense with all those dominoes that have a five or a six on them and limit ourselves to the fifteen that remain, where the double-four is the highest.

how

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading In how many different ways may the fifteen dominoes be arranged in a straight line in accordance with the simple rule of the game that a number must always be placed against a similar number--that is, a four against a four, a blank against a blank, and so on?

InprepositionUS /ɪn/

inside something, or within a place, period, or state

From this reading In this case we do not use the complete set of twenty-eight dominoes to be found in the ordinary box.

isauxiliary verbUS /ɪz/

the form of “be” used with he, she, it, or a singular noun

From this reading We dispense with all those dominoes that have a five or a six on them and limit ourselves to the fifteen that remain, where the double-four is the highest.

LeftnounUS /left/

an important story-specific word used in this passage

From this reading Left to right and right to left of the same arrangement are to be counted as two different ways.

limit

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading We dispense with all those dominoes that have a five or a six on them and limit ourselves to the fifteen that remain, where the double-four is the highest.

line

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading In how many different ways may the fifteen dominoes be arranged in a straight line in accordance with the simple rule of the game that a number must always be placed against a similar number--that is, a four against a four, a blank against a blank, and so on?

many

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading In how many different ways may the fifteen dominoes be arranged in a straight line in accordance with the simple rule of the game that a number must always be placed against a similar number--that is, a four against a four, a blank against a blank, and so on?

maymodal verbUS /meɪ/

used to say something is possible, or to give permission

From this reading In how many different ways may the fifteen dominoes be arranged in a straight line in accordance with the simple rule of the game that a number must always be placed against a similar number--that is, a four against a four, a blank against a blank, and so on?

mustmodal verbUS /mʌst/

used to say something is necessary, or almost certainly true

From this reading In how many different ways may the fifteen dominoes be arranged in a straight line in accordance with the simple rule of the game that a number must always be placed against a similar number--that is, a four against a four, a blank against a blank, and so on?

notadverbUS /nɑːt/

used to make a word, phrase, or sentence negative

From this reading In this case we do not use the complete set of twenty-eight dominoes to be found in the ordinary box.

number

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading In how many different ways may the fifteen dominoes be arranged in a straight line in accordance with the simple rule of the game that a number must always be placed against a similar number--that is, a four against a four, a blank against a blank, and so on?

ofprepositionUS /ʌv/

belonging to, or connected with, somebody or something

From this reading In this case we do not use the complete set of twenty-eight dominoes to be found in the ordinary box.

onprepositionUS /ɑːn/

touching and supported by a surface

From this reading We dispense with all those dominoes that have a five or a six on them and limit ourselves to the fifteen that remain, where the double-four is the highest.

orconjunctionUS /ɔːr/

used to join alternatives or possibilities

From this reading We dispense with all those dominoes that have a five or a six on them and limit ourselves to the fifteen that remain, where the double-four is the highest.

ordinary

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading In this case we do not use the complete set of twenty-eight dominoes to be found in the ordinary box.

ourselvespronounUS /aʊərˈselvz/

used when we are both doing the action and receiving it

From this reading We dispense with all those dominoes that have a five or a six on them and limit ourselves to the fifteen that remain, where the double-four is the highest.

placed

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading In how many different ways may the fifteen dominoes be arranged in a straight line in accordance with the simple rule of the game that a number must always be placed against a similar number--that is, a four against a four, a blank against a blank, and so on?

remain

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading We dispense with all those dominoes that have a five or a six on them and limit ourselves to the fifteen that remain, where the double-four is the highest.

rightnounUS /right/

an important story-specific word used in this passage

From this reading Left to right and right to left of the same arrangement are to be counted as two different ways.

rule

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading In how many different ways may the fifteen dominoes be arranged in a straight line in accordance with the simple rule of the game that a number must always be placed against a similar number--that is, a four against a four, a blank against a blank, and so on?

samenounUS /same/

an important story-specific word used in this passage

From this reading Left to right and right to left of the same arrangement are to be counted as two different ways.

set

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading In this case we do not use the complete set of twenty-eight dominoes to be found in the ordinary box.

similar

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading In how many different ways may the fifteen dominoes be arranged in a straight line in accordance with the simple rule of the game that a number must always be placed against a similar number--that is, a four against a four, a blank against a blank, and so on?

simple

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading In how many different ways may the fifteen dominoes be arranged in a straight line in accordance with the simple rule of the game that a number must always be placed against a similar number--that is, a four against a four, a blank against a blank, and so on?

six

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading We dispense with all those dominoes that have a five or a six on them and limit ourselves to the fifteen that remain, where the double-four is the highest.

soconjunctionUS /soʊ/

for that reason; with the result that

From this reading In how many different ways may the fifteen dominoes be arranged in a straight line in accordance with the simple rule of the game that a number must always be placed against a similar number--that is, a four against a four, a blank against a blank, and so on?

straight

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading In how many different ways may the fifteen dominoes be arranged in a straight line in accordance with the simple rule of the game that a number must always be placed against a similar number--that is, a four against a four, a blank against a blank, and so on?

thatconjunctionUS /ðæt/

used to introduce what somebody said, thought, or felt

From this reading We dispense with all those dominoes that have a five or a six on them and limit ourselves to the fifteen that remain, where the double-four is the highest.

THEdeterminerUS /ðə/

used before a noun that is already known, already mentioned, or the only one of its kind

From this reading 283.--THE FIFTEEN DOMINOES.

thempronounUS /ðem/

the people or things already mentioned, as the object

From this reading We dispense with all those dominoes that have a five or a six on them and limit ourselves to the fifteen that remain, where the double-four is the highest.

thisdeterminerUS /ðɪs/

used for a person or thing that is near, or that has just been mentioned

From this reading In this case we do not use the complete set of twenty-eight dominoes to be found in the ordinary box.

thosedeterminerUS /ðoʊz/

the plural of “that”: the people or things further away, or already known

From this reading We dispense with all those dominoes that have a five or a six on them and limit ourselves to the fifteen that remain, where the double-four is the highest.

toparticleUS /tuː/

used before the base form of a verb to make the infinitive

From this reading In this case we do not use the complete set of twenty-eight dominoes to be found in the ordinary box.

twenty-eight

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading In this case we do not use the complete set of twenty-eight dominoes to be found in the ordinary box.

two

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading Left to right and right to left of the same arrangement are to be counted as two different ways.

use

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading In this case we do not use the complete set of twenty-eight dominoes to be found in the ordinary box.

ways

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading In how many different ways may the fifteen dominoes be arranged in a straight line in accordance with the simple rule of the game that a number must always be placed against a similar number--that is, a four against a four, a blank against a blank, and so on?

wepronounUS /wiː/

the speaker together with one or more other people

From this reading In this case we do not use the complete set of twenty-eight dominoes to be found in the ordinary box.

whereconjunctionUS /wer/

in or at the place that

From this reading We dispense with all those dominoes that have a five or a six on them and limit ourselves to the fifteen that remain, where the double-four is the highest.

withprepositionUS /wɪð/

in the company of; together with

From this reading We dispense with all those dominoes that have a five or a six on them and limit ourselves to the fifteen that remain, where the double-four is the highest.