A mapping is selected at random from all mappings f:A rarr A where set `A={1, 2, 3, .... n} `If the probability that mapping is injective is `3/32` then the value of `n` is:

One mapping is selected at random from all mappings of the set S={1,2,3,...n} into itself.If the probability that the mapping is one-one is 3/32 ,then the value of n is 2 b.3 c.4d .none of these

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

36.One mapping /function is selected at random from all the mappings of the set A={1,2,3,4,5) .Into itself.Find the probability that the mapping selected is one to one.

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.

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

A={x_(1),x_(2),x_(3),x_(4),x_(5)},B={y_(1),y_(2),y_(3),y_(4),y_(5)} A one-one mapping is selected at random from the set of mapping from A to B, the probability that it satisfies the condition f(x_(1))!=y_(1),i=1,2,3,4,5 is

If mapping f:A rarr B is one-one onto,then prove that mapping f^(-1):B rarr A is also one- one onto.