Let A and B be two finite sets having m and n elements respectively such that `m le n`. A mapping is selected at random from the set of all mappings from A to B. The probability that the mapping selected is an injection, is

Let A and B be two finite sets having m and n elements respectively such that m≤n . A mapping is selected at random from the set of all mappings from A to B. The probability that the mapping selected is an injection, is In above question if m gt n then the probability that the mapping selected is an injective mapping is :

A mapping is selected at random from the set of all the mappings of the set of A= {1,2,3,4} into itself. The probability that the mapping selected is a bijection is

A mapping is selected at random from set A={1, 2, ...., 10} into itself. The probability that mapping selected is an injective is

A mapping is selected at random from the set of all the mappings of the set of A= {1,2,3,4,5} into itself. The probability that the mapping selected is a bijection is

A mapping is select at random from the set of all the mappings of the set A={1,2, n} into itself. Find the probability that the mapping selected is an injection.

A mapping is select at random from the set of all the mappings of the set A={1,2, n} into itself. Find the probability that the mapping selected is an injection.