Show that, given any 3 integers, at least 2 of them must have the property that...

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Advance Math

Show that, given any 3 integers, at least 2 of them must havethe property that their difference is even.

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Ans It is certainly nonempty so we would like to show that for no n Z is there a bijection n Z This seems obvious Unfortunately sometimes in mathematics we must struggle to show that the obvious is true and sometimes what seems obvious is not true    See Answer
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