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A student has to answer 10 out of 13 questions in an examination choosing at least 5 questions from the first 6 questions. The number of choices available to the student is

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161

196

answer is A.

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Detailed Solution

A (6)	B (7)
5	5
6	4

Let Section A has 6 Questions

Section B has 7 Questions

A Student has to answer at least 5 from first 6 Questions.

No of choices $= 6_{C_{5}} \times 7_{C_{5}} + 6_{C_{6}} \times 7_{C_{4}} = 6 \times 21 + 1 (35) = 161$

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