Given four pair of gloves, they are distributed to four persons. Each person is given a right-handed and left-handed glove, then the probability that no person gets a pair is
A
`3//8`
B
`5//8`
C
`1//4`
D
`3//4`
Text Solution
Verified by Experts
The correct Answer is:
A
`(a)` Let us first distribute `4` left gloves to four person in `4!` ways. If no one gets the corresponding right glove then no. of ways `=4!(1-(1)/(1!)+(1)/(2!)-(1)/(3!)+(1)/(4!))=9` Then number of favourble ways `=9xx4!=216` Total number of ways `4!xx4!` `:.` Required propability `=(216)/(4!xx4!)=(216)/(576)=(3)/(8)`
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