Use generating functions to solve the following problem: How many ways can n distinct 6-sided dice show a sum of 24? Your solution should include constraints on n (i.e. if n= 100, the answer is 0 since the minimum possible sum is 100, and if n= 1 the answer is also zero).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...
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Use generating functions to solve the following problem: How many ways can n distinct 6-sided dice show a sum of 24? Your solution should include constraints on n (i.e. if n= 100, the answer is 0 since the minimum possible sum is 100, and if n= 1 the answer is also zero).

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