Multiple choice

A committee of 7 members to be formed out of 3 English faculties, 4 Reasoning faculty and 6 Maths Faculty. In how many different ways can this be done if the Committee should have all Maths faculty and 1 English faculty or all reasoning faculty and English Faculty?

  1. 4

  2. 3

  3. 12

  4. 6

  5. None of these
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A Correct answer
Explanation

Case 1: All 6 Maths faculty + 1 English from 3 = C(6,6) × C(3,1) = 1 × 3 = 3 ways. Case 2: All 4 Reasoning faculty + all 3 English faculty = C(4,4) × C(3,3) = 1 × 1 = 1 way. Total = 3 + 1 = 4 ways.

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