Given four pair of gloves, they are distributed to four persons. Each person is given a right handed and left handed glove, the probability that no person gets a pair is equal to

Let first distribute 4 left gloves to four person in 4! ways. Now no one gets the corresponding right glove =4!1−11!+12!−13!+14!=9 Then number of favorable ways =9×4!=218 Total number of ways 4!×4!∴ Required probability =2164!×4!=216576=38