Prove the following : $$ {{n}\choose{7}}-\left \lfloor{\frac{n}{7}}\right \rfloor $$ is divisible by 7.
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2http://math.stackexchange.com/questions/5818/proving-n-choose-p-equiv-bigl-fracnp-bigr-textmod-p – May 23 '14 at 16:08