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.

Number of relations that can be defined on the set A = {a, b, c} is

Find the number of binary operations that can be defined on the set A={a,b,c}

The number of equivalence relations that can be defined on set {a, b, c}, is

Statement-1: If A and B are two sets having 3 and 5 elements respectively, then the total number of functions that can be defined from A to B is 5^(3) . Statement-2: A function from set A to set B relates elements of set A to elements of set B.

If A={1,2,3},\ B={x , y} , then the number of functions that can be defined from A into B is 12 b. 8 c. 6 d. 3

If A = {1, b}, then the number of binary operations that can be defined on A is

The number of binary operations that can be defined on a set of 2 elements is (a) 8 (b) 4 (c) 16 (d) 64

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 A={a,b,c} and B={-3,-1,0,1,3} , then the number of injections that can be defined from A to B is .

(i) If A and B sets have 2 and 5 elements respectively, then find the minimum and maximum number of elements in A cup B (ii) If A and B have 4 and 6 elements respectively, then find the minimum and maximum number of elements in A cap B .