There are 10 people waiting on standby at an airport to get on the next flight when 2 seats open up. One
of the seats is in first class, and the other is in coach. What error is made in the work shown below to
calculate the number of ways to choose the passengers to fill the seats?
101
10.9.8
(10-2)!21 81.2.1
10.9 90
2.
17 = 45
The correct formula for 10C2 was not used.
There is a multiplication error in the numerator.
The solution is for combinations, but the situation calls for permutations,
8! was incorrectly divided out of the numerator and the denominator.