If `n(B)=2` and the number of functions from A and B which are onto is 30, then number of elements in A is (A) 4 (B) 5 (C) 6 (D) none of these

If n(A)=2 and total number of relations from A to B is 1024, then number of elements in B is (A) 4 (B) 5 (C) 6 (D) none of these

2nd idetical coins are arrangeed in a row and the number of ways in which the number of heads is equal to the nuber of tails is 70, then n= (A) 4 (B) 5 (C) 3 (D) none of these

If n(A)=4, n(B)=5 and number of functions from A to B such that range contains exactly 3 elements is k, k/(60) is ………. .

The smallest natural number is (a) 0 (b) 1 (c) -1 (d) None of these

The number of terms in the expansion of (x+1/x+1)^n is (A) 2n (B) 2n+1 (C) 2n-1 (D) none of these

If n(A) = 4 and n(B) =6 , then maximum number of elements in A cup B is :

If n(A) = 3 and n(B) =5 , then maximum number of elements in A cap B is :

Find the number of functions that can be defined from A to B if number of distinct elements in A and B are m and n respectively.

If a group of n distinct objects, the number of arrangements of 4 object is 12 times the number of arrangements of 2 objects, then the number of objects is (a) 10 (b) 8 (c) 6 (d) none of these

If the set A contains 5 elements and the set B contains 6 elements, then the number of one-one and onto mappings from A to B is (a) 720 (b) 120 (c) 0 (d) none of these