Question

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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?
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⚠️ Dᴏɴ'ᴛ Sᴘᴀᴍ ⚠️​

Answer 1

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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

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Step-by-step explanation:

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Answer 2

Team of students = 6

No of Students can hold more than one position = x

So,

To let us know the no. of position we must take 6 different things to take 2 at a time

So,

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