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For questions that explicitly reference the binomial coefficients, Pascal's Triangle, and Binomial identities.
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binomial coefficients are integers because numerator and denominator form pairs?
I've heard of a claim that when calculating the binomial formula with integer input:
$\mathrm{Bin}(n,k):=\prod^k_{i=1}\frac{n+1-i}{i}\in \mathbb{N}\ (\forall n,k\in\mathbb N)$
each denominator divides …