Let `A={x_1,x_2,x_3,x_4,x_5},B={y_1,y_2,y_3,y_4}`, Function f is defined from A to B. Such that `f(x_1)=y_1`, and `f(x_2)=y_2` then, number of onto functions from A to B is (A) 12 (B) 6 (C) 18 (D) 27

Consider set A={x_(1),x_(2),x_(3),x_(4)} and set B={y_(1),y_(2),y_(3)} Function f is defined from A to B

Consider set A = {x_(1), x_(2), x_(3), x_(4), x_(5)} and set B = {y_(1), y_(2), y_(3)} . Function f is defined from A to B. Number of function from A to B such that f(x_(1)) = y_(1) and f(x_(2)) != y_(2) is

Let A={x_(1),x_(2),x_(3),x_(4)),B={y_(1),y_(2),y_(3),y_(4)} and function is defined from set Ato set B Number ofone- one function such that f(x_(1))!=y_(1) for i=1,2,3,4 is equal to

Let A={1,2,3,4},B={1,4,9,16,25} and R be a relation defined from A to B as , R ={(x,y):x in A and y =x^2} (b) Find the domain of R.

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

Let A={1,2,3,4},B={1,4,9,16,25} and R be a relation defined from A to B as , R ={(x,y):x in A and y =x^2} (d) write codomain of R.

Consider three sets A = {1, 2, 3}, B = {3, 4, 5, 6},C = {6, 7, 8, 9}. R_1 is defined from A to B such that R_1 = { ( x, y ): 4 x < y ,x in A, y in B} Similarly R_2 is defined from B to C such that R= { ( x,y ) : 2x le y, x in B and y in C} then R_(2)^(-1) O R_1 is