How many nonnegative solutions are there to the equation x1 + x2 + x3 + X4 + x5 = 21.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 18E
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. How many nonnegative solutions are there to the equation x1 + x2 + x3 + x4 + x5 = 21.
Transcribed Image Text:. How many nonnegative solutions are there to the equation x1 + x2 + x3 + x4 + x5 = 21.
Given n e N, show that 1 r+) = n(n+ 1)(n² + 5n – 2)2"-4
r=1
Transcribed Image Text:Given n e N, show that 1 r+) = n(n+ 1)(n² + 5n – 2)2"-4 r=1
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