Question

If 12 people are to be divided into 3 committees of respective sizes 3, 4, and 5, how many divisions are possible?

Answer 1

Answer: 1,320

Explanation:

We can solve this using permutation

n p r = n! /(n-r)!

12 P 3 = 12 ! / (12-3)!

= 12 × 11 × 10 × 9! / 9!

= 12 × 11 × 10

= 1320