Question: 2015 Winter Midterm - 1
The Carleton Computer Science Society has a Board of Directors consisting of a President and a
seven-person Advisory Board. The President cannot be on the Advisory Board. Let $n$ be the number of
students in Carleton's Computer Science program, where $n \geq 8$. In how many ways can a Board of
Directors be chosen?
(a)
$n + {n \choose 7}$
(b)
$n \cdot {n \choose 7}$
(c)
$(n - 7) + {n \choose 7}$
(d)
$(n - 7) \cdot {n \choose 7}$