Question
Let n, k N. Let P(n, k) be the number of permutations of size k from a set of size n. So P(n, k) =
Let n, k N. Let P(n, k) be the number of permutations of size k from a set of size n. So P(n, k) = n! (nk)!
P(n, k) = P(n 1, k) + k P(n 1, k 1).
(a) Prove the claim using an algebraic proof.
(b) Prove the claim using a combinatorial proof.
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Encyclopedia Of Distances
Authors: Michel Marie Deza, Elena Deza
3rd Edition
3662443422, 9783662443422
