1 .
Carleton's Computer Science program has $f$ female students and $m$ male students, where
$f \geq 1$ and $f + m \geq 4$. The Carleton Computer Science Society has a Board of Directors
consisting of a President and three Vice-Presidents, all of whom are Computer Science students.
The President is female and cannot be a Vice-President. In how many ways can a Board of Directors
be chosen?
(a)
${f + m \choose 3}$
(b)
$(f - 1) \cdot {f + m \choose 3}$
(c)
$f \cdot {f + m \choose 3}$
(d)
$f \cdot {f + m - 1 \choose 3}$