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COMEDK · Maths · 4. Permutation Combination

A candidate is required to answer 7 questions out of 12 questions which are divided into two groups each containing 6 questions. He is not permitted to attempt more than 5 questions from either group. The number of ways in which he can choose the 7 question is

  1. A 1272
  2. B 820
  3. C 780
  4. D 640
Verified Solution

Answer & Solution

Correct Answer

(C) 780

Step-by-step Solution

Detailed explanation

The total number of questions is 12, divided into two groups of 6 questions each. Let the groups be A and B, each containing 6 questions. The candidate needs to select 7 questions in total, with the constraint that no more than 5 questions can be selected from either group. Let…