组合数Cnr(n>r≥1,n、r∈Z)恒等于()A.r+1n+1Cn-1r-1B.(n+1)(r+1)cn-1r-1C.nrCn-1r-1D.nrCn-1r-1-数学

题目简介

组合数Cnr(n>r≥1,n、r∈Z)恒等于()A.r+1n+1Cn-1r-1B.(n+1)(r+1)cn-1r-1C.nrCn-1r-1D.nrCn-1r-1-数学

题目详情

组合数Cnr(n>r≥1,n、r∈Z)恒等于(  )
A.
r+1
n+1
Cn-1r-1
B.(n+1)(r+1)cn-1r-1
C.nrCn-1r-1D.
n
r
Cn-1r-1
题型:单选题难度:中档来源:上海

答案

Crn
=class="stub"n!
r!(n-r)!
=class="stub"n
r
(n-1)!
(r-1)![(n-1)-(r-1)]!
=class="stub"n
r
Cr-1n-1

故选D.

更多内容推荐