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Combinatorics

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A Subcommittee with a Leader

COMBIN-EGOSGQ

A committee with $n$ members will select a subcommittee with $k$ members, including a leader. Which two expressions equal the number of ways to do this?

Select ALL that apply.

A

$k{n-1\choose k-1}$

B

$k{n-1\choose k}$

C

$k{n\choose k}$

D

$n{n-1\choose k-1}$

E

$n{n\choose k}$

F

$n{n-1\choose k}$