Question

How many ways are there to choose a committee of 3 people from a group of 5 people?

10
12
60
70

Answer 1

\[\left(\begin{matrix}5\\3\end{matrix}\right)\]

Answer 2

The formula for this (choosing 'k' things from a larger set of 'n') is:
n! / (k! * (n-k)!)
5! / (3! * 2!) =
5*4* 3! / 3! * 2 =
5 *4 / 2
=10

Answer 3

Thank you!