Let n,k Z+, and define p(n, k) to be the number of partitions of n into

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Let n,k ∈ Z+, and define p(n, k) to be the number of partitions of n into exactly k (positive-integer) summands. Prove that p(n, k) = p(n - 1), (k - 1) + p(n - k, k).

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Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

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Question Posted: Jun 21, 2016 08:44 AM

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Let n,k Z+, and define p(n, k) to be the number of partitions of n into

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There are two cases to consider Case 1 1 is a summand Here there are pn 1 k ...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

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