Let `X={a_1, a_2, ,a_6}a n dY={b_1, b_2,b_3}dot` The number of functions `f` from `xtoy` such that it is onto and there are exactly three elements `x in X` such that `f(x)=b_1` is 75 (b) 90 (c) 100 (d) 120

Let X={a_1, a_2, ,a_6}a n dY={b_1, b_2,b_3}dot The number of functions f from xtoy such that it is onto and there are exactly three elements xinX such that f(x)=b_1 is 75 (b) 90 (c) 100 (d) 120

Let A = {x_1, x_2, x_3, ,x_7},B={y_1, y_2, y_3} The total number of functions f: A->B that are onto and there are exactly three element x in A such that f(x)=y_2 is equal to a. 490 b. 510 c. 630 d. none of these

Let A={x_(1),x_(2),x_(3)....,x_(7)},B={y_(1)y_(2)y_(3)} . The total number of functions f:AtoB that are onto and ther are exactly three elements x in A such that f(x)=y_(2) , is equal to

Let A = {x_(1),x_(2),x_(3),x_(4), x_(5), x_(6),x_(7), x_(8)}, B= { y_(1), y_(2), y_(3), y_(4) } . The total number of function f : A to B that are onto and there are exactly three elements x in A such that f(x) = y_(1) is :

If 1/5-1/6=4/x , then x= (a) -120\ (b) -100 (c) 100 (d) 120

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 f = {(1,1), (2, 3), (0, 1), (1, 3)} be a function from Z to Z defined by f(x) = a x + b , for some integers a, b. Determine a, b .

Let f(x)=x+2|x+1|+2|x-1|dot If f(x)=k has exactly one real solution, then the value of k is (a) 3 (b) 0 (c) 1 (d) 2

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