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Question -

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?



Answer -

Given 9 courses areavailable and 2 specific courses are compulsory for every student

Here 2 courses arecompulsory out of 9 courses, so a student need to select 5 – 2 = 3 courses

 Number of waysin which 3 ways can be selected from 9 – 2(compulsory courses) = 7 are 7C3

 Number of ways astudent selects 5 courses from 9 courses where 2 specific courses arecompulsory are: 35

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