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Given n pairs of gloves, the number of ways can each of n pers

Question

Given $n$ pairs of gloves, the number of ways can each of $n$ persons take a right handed and a left handed glove without taking a pair is

n . (n - 1)^{2} ... 2^{2} .1

n . (n - 1)^{3} ... 2^{3} .1

n . (n - 1)^{4} ... 2^{4} .1

n . (n - 1) ...2.1

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Amelia Discussed

Given

n

pairs of gloves, the number of ways can each of

n

persons take a right handed and a left handed glove without taking a pair is

9 mins ago

Discuss this question LIVE

9 mins ago

Text solutionVerified

The way he can wear it in right hand

n!

ways and left hand will be

(n - 1)!

ways

= n! . (n - 1)!

= n (n - 1)! . (n - 1)!

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Question Text	Given $n$ pairs of gloves, the number of ways can each of $n$ persons take a right handed and a left handed glove without taking a pair is
Answer Type	Text solution:1
Upvotes	150