One function is selected at random from all functions of the set `S={1,2,3,.......,n}` to itself. If, probability that it is one-one is `3/32`, then n is :

Find the number of all onto functions formthe set {1,2,3,….,n} to itself.

Find the number of all one-one functions from set A = {1, 2, 3} to itself.

Three different numbers are selected at random from the set A = (1, 2, 3,...., 10). The probability that the product of two of the numbers is equal to the third is

Two numbers are selected randomly from the set S={1,2,3,4,5,6} without replacement one by one. The probability that minimum of the two numbers is less than 4 is a. 1//15 b. 14//15 c. 1//5 d. 4//5

Let n_1 and n_2 be the number of red and black balls respectively, in box I. Let n_3 and n_4 be the number of red and black ball respctively, in box II.: One of the two boxes , box I andbox II, was selected at random and a ball was drawn randomly out of this box. The ball was found to be red. If the probability that this red ball was drawn from box II is 1/3 , then the correct option(s) with the possible values of n_1, n_2, n_3 and n_4 is (are):

Two bags contain 6 red and 4 black, 3 red and 3 black balls. One ball is drawn at random from one of the bags and found to be red. Find the probability that it was drawn from the second bag.

Two bags contain 6 red and 3 black, 5 red and 5 black balls. One ball is drawn at random from one of the bags and found to be red. Find the probability that it was drawn from the second bag.

(i) A lot of 20 bulbs contain 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective? (ii) Suppose the bulb drawn in (i) is not defective and is not replaced. Now one bulb is drawn at random from the rest. Whal is the probability that this bulb is not defective ?

3 cards are drawn at random from a pack of well shuffled 52 cards. Find the probability that : one is a king, the other is a queen and the third is a jack.

Fifteen coupens are numbered 1,2,3,...15 respectively. Seven coupons are selected at random one at a time with replacement The Probability that the largest number appearing on a selected coupon is 9 is :