A question paper is divided into two parts A and B and each part contains 5 questions. The number of ways in which a candidate can answer 6 questions selecting atleast two questions from each part is

A question paper is divided into two parts A and B and each part contains 5 questions. The number of ways in which a candidate can answer 6 questions selecting atleast two questions from each part is

  1. A

    80

  2. B

    100

  3. C

    200

  4. D

    None of these

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    Solution:

    The number of way6 that the candidate may select
    (i) if 2 questions from. A and 4 questions from B =5C2×5C4=50
    (ii) 3 questions from A and 3 questions from B =5C3×5C3=100
    (iii) 4 questions from 4 and 2 questions from B =5C4×5C2=50
    Hence, total number of ways = 50 + 100 + 50 = 200

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