Binomial Theorem(A.Maths)

2006-11-28 2:46 am
Prove the following expressions.

n.n-1Ck = (n-k) nCk

回答 (1)

2006-11-28 2:53 am
✔ 最佳答案
n.n-1Ck
=n[(n-1)!/k!(n-1-k)!]
=n!/k!(n-1-k)!
=(n-k)n!/k!(n-1-k)!(n-k)
=(n-k)n!/k!(n-k)!
=(n-k) nCk


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