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Find the number of r-permutations of the multiset {??1, ??2, … , ???} such that in every...

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Advance Math

Find the number of r-permutations of the multiset{??1, ??2, … , ???} such that in
every such permutation each type of an element of the multisetappears at least
once. (You do not need to provide a short answer. Assume r ?n.)

Answer & Explanation Solved by verified expert
4.4 Ratings (767 Votes)
Let us consider that the number of rcombinations of themultiset is Let xj be the number of occurrences of aj where 1jk Then weneed to find the number of solutions of the equation is1in the nonnegative integers    See Answer
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