Let X={2,3,4,5,6,7,8,9,10} .A subset S of X is said to be good if it has exactly four numbers and their g.c.d is 1 .Then ,the number of good subsets of S is

Let S= {0, 1, 5, 4, 7). Then the total number of subsets of S is

If A ={1,2,3,4,5}, then the number of proper subsets of A is

Let S={1,2,3,…..n} and A = {a,b)|1lea,blen}=SxxS . A subset B of A is said to be a good subset if (x, x) in B for every x in S . Then number of good subsets of A is -

If A = {1, 2, 3, 4, 5), then the number of proper subsets of A is

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)

Let S={1,2,......,20} .A subset B of S is said to be nice ,if the sum of the elements of B is 204 . Then the probability that a randomly chosen subset of S is nice is (k)/(2^(18)) , where k is.

Let S={1,2,3,4,.............10}. A subset B of S is said to be good if the product of the elements of B is odd, Then the probability that a randomly chosen subset of S is good is