Question

How many different committees can be formed from 12 teachers Abs 43 students of the committee consists of 4 teachers and 3 students ? In how many ways can the committee of 7 members be selected ?

Answer 1

6108795

Explanation:

To obtain the number of ways the committee can be selected :

4 teachers from the 12 teachers available and 3 students from the 43 students available

Using combinatorics :

12C4 * 43C3

recall :

nCr = n! ÷ (n - r)!r!

Using calculator :

12C4 = 495

43C3 = 12341

12C4 * 43C3

495 * 12341

= 6108795