Multiple choice

Read the following information carefully and answer the questions given below. A group of 8 members is to be formed out of 8 doctors, 6 teachers and 4 students. In how many different ways can this be done if the group should have 4 doctors, 3 teachers and 1 student?

  1. 6400

  2. 5400

  3. 5600

  4. 2800

  5. None of these

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

We need to form a group of 8 members with exactly 4 doctors, 3 teachers, and 1 student. From 8 doctors, choose 4: C(8,4). From 6 teachers, choose 3: C(6,3). From 4 students, choose 1: C(4,1). Total ways = C(8,4) × C(6,3) × C(4,1) = 70 × 20 × 4 = 5600. This uses the multiplication principle of combinations.