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Let S be a multiset with k elements whose repetition numbers are n,...,nk. Prove that if r n + +nk, the number of r-

Let S be a multiset with k elements whose repetition numbers are n,...,nk. Prove that if r n + +nk, the number of r- combinations of elements in S is the coefficient of " in the polynomial expansion of II / ( + x + ... + x

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