How many ways can you select a committee of five members from a group of 10 people?

1 Answer
hev1
Mar 24, 2018

There are #252# ways to select a committee of five members from a group of #10# people.

Explanation:

The number of ways to select #b# people from a total of #a# people is #(a!)/(b!*(a-b)!#.

Plugging in #10# for #a# and #5# for #b#:
#P = (10!)/(5!(10-5)!)#
#P = 3628800/(120*5!)#
#P = 3628800/14400#
#P = 252#

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