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9. Combinations
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Q5 of 68 Page 341

In How many ways can a student chose 5 courses out of 9 courses if 2 specific courses are compulsory for every student?

Since every student needs to choose 5 courses out of which 2 are compulsory. So, the student needs to choose 3 subjects out of 7 .


No. of ways for choosing 3 subjects out of 7 is 7C3


Applying formula, nCr = , we get


= 35 ways.


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A sports team of 11 students is to be constituted, choosing at least 5 from class XI and at least 5 from class XII. If there are 20 students in each of these classes, in how many ways can the team be constituted?

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Questions · 68
9. Combinations
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