Randomly permute the integers in the set {1, 2, 3, 4, 5}, so that each of the p

Randomly permute the integers in the set {1, 2, 3, 4, 5}, so that each of the
possible permutations is equally likely to occur. Find
(a) the probability that all of them are in their
natural position, i.e., the permutation turns
out to be exactly {1, 2, 3, 4, 5},
(b) the probability that exactly two of them are in their natural position,
(c) the probability that exactly three of them are in their natural position,
(d) the probability that exactly four of them are in their natural position

Posted in Uncategorized