There Are Ten Academic Senate Faculty in the Statistics Department

Multiple Choice

There are ten Academic Senate faculty in the Statistics Department at the University of California, Irvine: three females and seven males. Two faculty are to be selected without replacement to serve on a committee where one of those selected will serve as the head of the committee.
-If we record the sex of the chosen committee members (male or female) and their roles (head or not) , how many possible outcomes are in the sample space?

A) 1
B) 2
C) 3
D) 4