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Q.

A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him is

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answer is 196.

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Detailed Solution

Since the student is to choose at least 4 questions from first five questions.∴ Total number of choices =5C4×8C6+5C5×8C5                                              =140+56=196.
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A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him is