Question

A committee must be formed with 5 teachers and 4 students. If there are 11 teachers to choose from, and 14 students, how many different ways could the committee be made?​

Answer 1

there are 462,462 different ways the committee can be formed.

Explanation:

To form the committee, we need to choose 5 teachers out of 11 and 4 students out of 14. We can use the combination formula to find the number of ways:

Number of ways to choose 5 teachers out of 11:

C(11, 5) = 11! / (5! * 6!) = 462

Number of ways to choose 4 students out of 14:

C(14, 4) = 14! / (4! * 10!) = 1001

The total number of ways to form the committee is the product of these two combinations:

462 * 1001 = 462462

Therefore, there are 462,462 different ways the committee can be formed.