In how many ways can a student choose a program of 5 courses, if 9 courses are available and 2 specific courses are compulsory for every student?

In how many ways can a student choose a program of 5 courses, if 9 courses are available and 2 specific courses are compulsory for every student?

  1. A

    34

  2. B

    36

  3. C

    35

  4. D

    37

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    Solution:

    Total number of available courses = 9 Out of these 5 courses have to be chosen. 

    But it is given that 2 courses are compulsory for every student
    i. e , you have to choose only 3 courses instead of 5, out of 7 instead of 9.is  7C3=35

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