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

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

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,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

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

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

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) : 4x lt y, x in A, y in B} . Similarly R_(2) is defined from B to C such that R_(2) = {(x, y) : 2x le y, x in B and y in C } then R_(1)oR_(2)^(-1) is

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