Multiple choice

A committee of 7 member to be form out of 3 English faculty , 4 Reasoning faculty and 6 Math's Faculty. In how many different ways can this be done if the committee should have 1 English and the rest are equal number in each subject?

  1. 120

  2. 240

  3. 810

  4. 360

  5. None of these

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

Committee of 7 with 1 English + remaining 6 split equally between Reasoning and Maths: 1 English (choose 1 from 3), 3 Reasoning (choose 3 from 4), 3 Maths (choose 3 from 6). Ways = C(3,1) × C(4,3) × C(6,3) = 3 × 4 × 20 = 240.