Question
Show, using the pigeonhole principle, that in any group of 30 people, 5 people can always be found who were born on the same day of the week.
Answer :
Word Count : 140
There are 7 days in a week, so each person must have been born on one of these 7 days. This situation can be analyzed using the pigeonhole principle, where the "pigeonholes" are the 7 ________ ____ ___ _________ _________ _______ _________ _________ ______.
_____ _____ ____ ______ ______ ___ __________.
_________ __________ ______ ___ ______ __________ ________.
_____ ________ __________ ___ _______ ________ _____ _______.
_______ ______ _________ _______ ____ _____ _________.
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_____ ______ _______ ______ ______ ____ ____ __________ __________ __________ _____.
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_________ _____ _________ __________ ___ ______ ____ _____.
_________ ______ ____ ___ ________ __________ ________.
_____ _________ _________ ________ _________ ______ ___ _________ ____ _________.
_____ _____ ___ ____ ____ ________ _____ _________ ________ __________.
____ __________ __________ _______.
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There are 7 days in a week, so each person must have been born on one of these 7 days. This situation can be analyzed using the pigeonhole principle, where the "pigeonholes" are the 7 ________ ____ ___ _________ _________ _______ _________ _________ ______.
_____ _____ ____ ______ ______ ___ __________.
_________ __________ ______ ___ ______ __________ ________.
_____ ________ __________ ___ _______ ________ _____ _______.
_______ ______ _________ _______ ____ _____ _________.
_________ __________ ________ __________ __________ _______.
_____ ______ _______ ______ ______ ____ ____ __________ __________ __________ _____.
_____ __________ ___ ____ _______ ____ ______ ______ _____ _____ _______.
_________ _____ _________ __________ ___ ______ ____ _____.
_________ ______ ____ ___ ________ __________ ________.
_____ _________ _________ ________ _________ ______ ___ _________ ____ _________.
_____ _____ ___ ____ ____ ________ _____ _________ ________ __________.
____ __________ __________ _______.
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