Question: Let m0,n0, and let k be an integer such that 0km and 0kn. Think of a set with m+n elements as composed of two parts,

Let m0,n0, and let k be an integer such that 0km

Let m0,n0, and let k be an integer such that 0km and 0kn. Think of a set with m+n elements as composed of two parts, one with m elements and the other with n elements. Give a combinatorial proof that (m+nk)=(m0)(nk)+(m1)(nk1)++(mk)(n0)

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