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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.

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

$k{n-1\choose k}$

$k{n\choose k}$

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

$n{n\choose k}$

$n{n-1\choose k}$