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Question

A sports team of 11 students is to be constituted choosing at least 5 from class IX and at least 5 from class X. If there are 8 students in each of these classes, in how many ways can the team be constituted?

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Solution

11 Students
Atleast 5 from 9th class
5 from 10th class
8 in each class
the 11th member can be 9th or 10th class
[8C68C5]×28×72×56×23136
Hence the correct answer is 3136 Ways

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