Let.A be a set of 4 elements. From the set ofall unctions from A to A, the probability that it is an into function is

Let A be the set with n elements. The number of onto functions from A to A is

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 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 be a finite set containing 3 elements, then the number of functions from A to A is

A set "A" contains 'm' elements another set "B" contains 'n' elements. A relation is formed from A to B. Then the probability that the relation is a function is

A set P contains n elements.A function from P to P is picked up at random.The probability that this function is onto is