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_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 X={a_(1),a_(2),...,a_(6)} and Y={b_(1),b_(2),b_(3)} The number of functions f from x to y 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

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

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 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

If f(x) be a differentiable function such that f(x+y)=f(x)+f(y) and f(1)=2 then f'(2) is equal to

Let f(x)=1/2[f(xy)+f(x/y)] " for " x,y in R^(+) such that f(1)=0,f'(1)=2. f'(3) is equal to