In a college examination, a candidate is required to answer 6 out of 10 questions which are divided into two sections each containing 5 questions. Further the candidate is not permitted to attempt more than 4 questions from either of the section. The number of ways in which he can make up a choice of 6 questions, is 

In a college examination, a candidate is required to answer 6 out of 10 questions which are divided into two sections each containing 5 questions. Further the candidate is not permitted to attempt more than 4 questions from either of the section. The number of ways in which he can make up a choice of 6 questions, is 

  1. A

    200

  2. B

    320

  3. C

    300

  4. D

    400

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    Solution:

    The required number of ways

    =5C45C2+5C35C3+5C25C4=50+100+50=200.

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