WAEC - Further Mathematics (2024 - No. 29)
In how many ways can 12 people be seated on a bench if only 5 spaces are available?
95040
11880
792
495
Explicació
\(_5^{12}\)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