Set S has 4 elements, A and B are subsets of S. The probability that A and B are not disjoint is (A) `(175)/(256)` (B) `(173)/(256)` (C) `(85)/(128)` (D) `(45)/(64)`

An unbiased coin is tossed eight xx.The probability of obtaining at least one head and at least one tail is: (A) (255)/(256) (B) (127)/(128) (C) (63)/(64)

Let S={1,2,...,20}. A subset B of S is said to be 'nice', if the sum of the elements of B is 203. Then the probability that a randomly chosen subset of S is 'nice' is: (a) 7/(2^20) (b) 5/(2^20) (c) 4/(2^20) (d) 6/(2^20)

Set A has 3 elements and set B has 4 elements. The number of injections that can be defined from A to B is

Set A has 3 elements and set B has 4 elements.The number of injections that can be defined from A to B is

Two subsets A and B of a set containing n elements are chosen at random.The probability that A sube B is

Let X be a set containing n elements.Two subsets A and B of X are chosen at random, the probability that A uu B=X is

2^(3^2) = (a)64 (b) 32 (c)256 (d) 512