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.

To demonstrate this using the pigeonhole principle, we analyze the problem step by step. The pigeonhole principle states that if nn items (pigeons) are placed into mm containers (pigeonholes), where n>mn > m, then at least one container must contain _____ __________ _______ _______ ____ _________ _________ ______ _____ _______ __________.
________ ______ ________ _______ ________ ____ _______ __________.
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__________ _______ ___ _______ _______ _________ __________ _________.
_______ _____ __________ _______ ___ __________ ___ _______ ________ ___ ________.
___ ___ ____ __________ ___ __________.
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_________ ________ _____ ___ ____ ______.
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___ ________ _____ __________ ________.
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________ _________ __________ ________ __________ _____ __________ _____ _________.
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_________ _________ _________ ______ ______ ________ ___ _______ ___.
____ ____ ___ ________ ____.
_______ _____ _______ ____ __________ __________ _____ ___ ______ ____ _______.
__________ ___ ______ _______ ______ ______ _____ _________ __________ ___ ____.
_____ ______ _____ ______ ____ _____ __________ ____ _______.
_______ ____.
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