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Prove that if a 0 (mod 4) or a 1 (mod 4), then a Choose 2 is even I think what it's saying is basically if a is even or a is odd, then a choose 2 is...

 Prove that if a ≡ 0 (mod 4) or a ≡ 1 (mod 4), then a Choose 2 is even

I think what it's saying is basically if a is even or a is odd, then a choose 2 is even. But i found that to be false, so i'm confused...

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