Let p(n, k) be the number of ways to write the integer n as a sum of exactly k positive integers. A theorem later in the text tells us that: p(n, k) = p(n – 1, k – 1) + p(n – k, k) Also, p(n, k) O when k >n and p(n, 0) = 0 and p(n, n) = 1. Write a recursive algorithm to find p(n, k).

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 12E: Suppose that the check digit is computed as described in Example . Prove that transposition errors...
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10) Recursive Algorithm Implementation
Homework • Unanswered
Let p(n, k) be the number of ways to write the integer n as a sum of exactly k positive integers. A theorem later in the text tells
us that:
p(n, k) = p(n – 1, k – 1) + p(n – k, k)
Also, p(n, k) = 0 when k > n and p(n, 0) = 0 and p(n, n) = 1. Write a recursive algorithm to find p(n, k).
Transcribed Image Text:10) Recursive Algorithm Implementation Homework • Unanswered Let p(n, k) be the number of ways to write the integer n as a sum of exactly k positive integers. A theorem later in the text tells us that: p(n, k) = p(n – 1, k – 1) + p(n – k, k) Also, p(n, k) = 0 when k > n and p(n, 0) = 0 and p(n, n) = 1. Write a recursive algorithm to find p(n, k).
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