Question: Prove the identity (nr)(rk) = (nk) (n-kr -k), whenever n, r, and k are nonnegative integers with r n and k r, a)

Prove the identity (nr)(rk) = (nk) (n-kr -k), whenever n, r, and k are nonnegative integers with r ≤ n and k ≤ r,
a) Using a combinatorial argument.
b) Using an argument based on the formula for the number of r-combinations of a set with n elements.

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