IPMAT Rohtak 2020 (QA) - Please calculate in how many ways can a set of five players be formed out of a total of ten players such that two particular players should be involved in each set? | PYQs + Solutions | AfterBoards
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IPMAT Rohtak 2020

Modern Math
>
Permutation & Combination

Medium

Please calculate in how many ways can a set of five players be formed out of a total of ten players such that two particular players should be involved in each set?

Correct Option: 3
If two particular players have to be involved in each set, then the question is basically asking the number of ways 3 people can be picked out of 8 people, which will simply be:
8C3=8!3!(8−3)!=8!3!5!=8×7×6×5!6×5!=8×7=56^8C_3=\frac{8!}{3!(8-3)!}=\frac{8!}{3!5!}=\frac{8\times7\times6\times5!}{6\times5!}=8\times7=56

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