Pigeonhole Principle - Texas A&M University at Galveston
any two of these will be some number of 5’s followed by some number of 0’s. So we can take the rst n+1 numbers whose only digits are 5, and there must be some pair whose di erence is composed of only 5’s and 0’s, and divisible by n. 6. Given 12 di erent 2-digit numbers, show that one can choose two of them so that their di erence is a ... ................
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