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

Answers (1)

9 courses are available and 2 specific courses are compulsory for every student.

Therefore, every student has to select 3 courses out of the remaining 7 courses.

This can be selected in ^7C_3 ways.

Thus, using multiplication priciple, number of ways of selecting courses  =^7C_3

                                                                                                                =\frac{7!}{3!4!}

                                                                                                               = \frac{7\times 6\times 5}{ 3\times 2}

                                                                                                               =35

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