Let `S = {1,2,3,..., 40}` and let A be a subset of S such that notwo elements in A have their sum divisible by 5. What is themaximum number of elements possible in A?

Let S={1,2,3, …, 100} . The number of non-empty subsets A to S such that the product of elements in A is even is

If A={1,2,3,4}, then the number of subsets of set A containing element 3, is

Let A and B be two sets having 4 and 7 elements respectively. Then write the maximum number f elements that AuuB can have:

Let set A = { 1, 2, 3, ….., 22} . Set B is a subset of A and B has exactly 11 elements, find the sum of elements of all possible subsets B .

Let A be a (4xx4) matrix such that the sum of elements in each row is 1 . Find out sum of the all the elements in A^(10) .

If A=[1,2,3,4,5,6] then how many subsets of A contain the element 2, 3 and 5?

Let S={1,2,3, . . .,n} . If X denotes the set of all subsets of S containing exactly two elements, then the value of sum_(A in X) (min. A) is given by

Let A be a square matrix of order 3 so that sum of elements of each row is 1 . Then the sum elements of matrix A^(2) is

Let S = {1,2,3,.............. n} and A={(a ,b)"|"1lt=a ,blt=n}=SxxS . A subset B of A is such that (x ,x) in B for every x in Sdot Then find the number of subsets Bdot

Let S = {1, 2, 3, 4). The number of functions f: S->S. Such that f(i) le 2i for all i in S is