Prove that among any 3 integers there are always two whose difference is divisible by 2.
Stuck: Counting Problem..Prove that among any 3 integers...
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discrete-mathematics
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0Not if 2 or more of them can be the same! – 2013-04-05
2 Answers
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HINT: Is the difference of two even numbers divisible by $2$? What about the difference of two odd numbers?
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Assume your integers are $x_1