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From a team of 6 students, in how many ways can we choose a captain and vice-captain assuming one person can not hold more than one position?

From a team of 6 students, in how many ways can we choose a captain and vice-captain assuming one person can not hold more than one position?

Grade:12th pass

1 Answers

Harshit Singh
askIITians Faculty 5964 Points
10 months ago
Welcome to AskIITians

From a team of 6 students, two students are to be chosen in such a way that one student will hold only one position.

Here, the no. of ways of choosing a captain and vice-captain is the permutation of 6 different things taken 2 at a time.

So,6P2= 6! / ( 6 -2 )! = 6! / 4! = 30

Thanks

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