In how many ways can 12 people be seated on a bench if only 5 spaces are available?
-
95040
- 11880
- 792
- 495
The correct answer is: A
Explanation
\(_5^{12}\)C = \(\frac{12!}{(12 - 5)!5!}\) = \(\frac{12!}{(12 - 5)!5!}\) = 792 ways
But 5! = 5 x 4 x 3 x 2 x 1 = 120
The number of ways = 120 x 792 = 95040 ways