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.
-Now, instead of recording the sex and role of the selected committee members, you only record the number of females selected. How many possible outcomes are in this new sample space?

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