#887 · Combinatorics · Counting

Distributing identical books

A library has $a$ copies of one title, $b$ copies of each of two other titles, $c$ copies of each of three further titles, and single copies of $d$ other titles. In how many ways can all the books be distributed at once, assuming copies of the same title are indistinguishable?

~5 minAnswer checked instantlymultinomialpermutations of multiset

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XI. Permutations and Combinations, Examples XI.b, No. 14

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