A mapping is selected 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.

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. 4 d. none of these

Column I, Column II If the probability of getting at least one head is at least 0.8 in n trials, then value of n can be, p. 2 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 being one-one is 3/32, then the value of n is, q. 3 If m is selected at random from set {1,2,..., 10} and the probability that the quadratic equation 2x^2+2m x+m+1=0 has real roots is k , then value of 5k is more than, r. 4 A man firing at a distant target as 20% chance of hitting the target in one shoot. If P be the probabililty of hitting the target in "n" attempts , where 20 P^2-13 P+2lt=0, then the ratio of maximum and minimum value of n is less than, s. 5

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 :

The number of all onto functions from the set {1,2,3,4,….,n} to itself is

Find the number of all onto functions from the set A={1,\ 2,\ 3,\ ,\ n} to itself.

Find the number of all onto functions from the set A={1,\ 2,\ 3,\ ,\ n} to itself.

A determinant is chosen at random from the set of all determinant of order 2 with elements 0 or 1 only. Find the probability that the determinant chosen is nonzero.

Two integers are selected at random from the integers 1 to 9. If their sum is even, then find the probability that both integers are odd.