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Question

A candidate is required to answer 6 out of 12 questions which are divided into two parts A and B each containing 6 questions and he/she is not permitted to attempt more than 4 questions from any part. In how many different ways can he/she make up his/her choice of 6 questions?

A
850
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B
800
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C
750
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D
700
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Solution

The correct option is A 850
The selections can be made in either of these three ways:
i) 2 questions from section A and 4 from section B
ii) 3 questions from each section
iii) 4 questions from section A and 2 from section B
For case i) we have 6C2×6C4 ways
For case ii) we have 6C3×6C3 ways
For case iii) we have 6C4×6C2 ways

Total number of ways =225+400+225=850

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