Question

In the US Senate, there are 21 members on the Committee on Banking, Housing, and Urban Affairs. Nine of these 21 members are selected to be on the Sub-committee on Economic Policy. How many different committee structures are possible for this sub-committee?

Answer 1

Possible committee structures = 293930

Explanation:

The combination expression is used here

²¹C₉ = 21!/(9!(21−9)!) = 293930