Multiple choice

In how many ways can a committee of 6 members be formed from 9 teachers and 8 students such that the committee must have exactly 4 teachers and 2 students?

  1. 2,358

  2. 3,528

  3. 5,328

  4. 5,838

  5. 8,532
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

We need to choose 4 teachers from 9 and 2 students from 8. This is calculated as C(9,4) * C(8,2). C(9,4) = (9*8*7*6)/(4*3*2*1) = 126. C(8,2) = (8*7)/2 = 28. 126 * 28 = 3528.

AI explanation

We must select 4 teachers from 9 and 2 students from 8, calculated using combinations: 9C4 * 8C2. Evaluating gives 126 * 28 = 3528. The committee can be formed in 3528 ways.

Keep practicing — related questions