Question

A committee of six people is chosen from five senators and eleven representatives. How many committees are possiblethere are to be three senators and three representatives on the Committee

Answer 1

This means we are to select 3 persons from 5 senators and 3 persons from 11 representatives. This can be done by

`^5C_3*^(11)C_3\text{ ways }`

So we have

`\begin{gathered} ^5C_3*^(11)C_3\text{ ways } \\ 10*165 \\ =1650\text{ ways } \end{gathered}`

Hence the answer is 1650 ways