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OpenStudy (anonymous):
how many distinct, positive integers would we have to choose from the numbers 1,2,3,...,2014 to guarantee that some pair of the chosen values has a difference that is a multiple of 5? (Pigeonhole Principle)
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OpenStudy (anonymous):
choosing 1 and 6 would work
OpenStudy (anonymous):
Yes, but the question is asking what is the minium number of values that we have to choose to guarantee that at least 2 of them has a difference that is a multiple of 5, not just pick two values with a difference that is a multiple of 5.
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