For integers n>r> 0, use the definition of the factorial function to prove that (n − 1)! (n − 1)! n! - + (r − 1)!(n − r)! ™r!(n − r − 1)! ¯r!(n − r)!* =
For integers n>r> 0, use the definition of the factorial function to prove that (n − 1)! (n − 1)! n! - + (r − 1)!(n − r)! ™r!(n − r − 1)! ¯r!(n − r)!* =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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How can I prove this algebraically?
Transcribed Image Text:For integers n>r> 0, use the definition of the factorial function to prove that
(n − 1)!
(n − 1)!
-
n!
+
(r − 1)!(n − r)!r!(n − r − 1)!¯¯¯r!(n = r)!*
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