3. Prove the following identities for Binomial Coefficients (by using the factorials) A. (1) = n B. (1) = n n(n-1) = 2 C. (2) D. (R) = (k)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 14E
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3. Prove the following identities for Binomial Coefficients (by using the factorials)
A. (1) = n
B. (1)
= n
n(n-1)
C. =
2
D. (².) = (n²k)
Transcribed Image Text:3. Prove the following identities for Binomial Coefficients (by using the factorials) A. (1) = n B. (1) = n n(n-1) C. = 2 D. (².) = (n²k)
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