Multiple Choice Questions on The number of ways in which a student can choose 5 courses out of 9 courses when 2 courses are........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

The number of ways in which a student can choose 5 courses out of 9 courses when 2 courses are...........

Quantitative Aptitude ( CCS) Permutation & Combination
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     The number of ways in which a student can choose 5 courses out of 9 courses, when 2 courses are compulsory is?

    35

    Correct Answer

    25

    Incorrect Answer

    45

    Incorrect Answer

    95

    Incorrect Answer
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    Explanation:

    Out of available 9 courses, 2 are compulsory. Hence the student is free to select 3 courses out of 7 remaining courses.

    C(n,r) = n! / (r!(n−r)!)
    C (7,3) = 7! / (3!(7−3)!)
    = 35 ways

    By: Deepak Dawra
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