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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 X II. If there are 20 students in each of these classes, in how many ways can the team be constituted?

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

Answers (1)

We have to select atleast 5 students from each class out of 20 students in each class . So, we

can either select 5 students from class XI and 6 from class XII or vice versa

Total number of ways= 20 c_{5} * 20 c_{6}+20 c_{6} * 20 c_{5}=2\left(20 c_{6} \cdot 20_{c_{5}}\right)

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infoexpert21

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