Question

From 9 names on a ballot, a committee of 5 will be elected to attend a political conference. How many different committees are possible?

Answer 1

Combinations are given by the expression:

`\begin{gathered} \text{nCr}=(n!)/(r!(n-r)!) \\ 9C_5=(9!)/(5!(9-5)!)=(362880)/(2880) \\ 9C_5=126 \end{gathered}`

There are 126 different comittees.