Question

How many different committees can be formed from 12 teachers and 43 students if the committee consists of 3 teachers and 4 ​students?

The committee of 7 members can be selected in BLANK
different ways.

Answer 1

• 27150200

Explanation:

Combination of 3 teachers out of 12:

• 12C3 = 12!/9!3! = 10*11*12/2*3 = 220

Combination of 4 students out of 43:

• 43C4 = 43!/39!4! = 40*41*42*43/2*3*4 = 123410

Total combinations:

• 220*123410 = 27150200