Public Policy and Political Science
The U.S. Senate Committee on Homeland Security and Governmental Affairs has 16 members. The full Senate has 53 Democrats, 45 Republicans, and 2 Independents.
a. How many different 16-member Senate committees are possible?
b. If the committee members are selected at random, what is the probability of a committee consisting of all Democrats?
c. What is the probability that the committee consists of 14 Democrats and 2 Independents?