Answer:
The correct answer is 161700.
Step-by-step explanation:
Total number of members of the senate of 107th congress is 100 in which there are 53 republicans, 42 democrats and 5 independents.
A new committee is to be formed from these 100 congressmen to study the benefits of arts in education.
Number of senators required to head the new committee is 3.
Therefore total number of ways 3 members are selected in the population of 100 congressmen is given by [tex]\left[\begin{array}{ccc}100\\3\end{array}\right][/tex] = 161700.
Thus there are 161700 ways one can select 3 senators to head a committee.
