Let E={1,2,3,4},F={1,2} then the number of onto functions from E to F is

Let E={1,2,3,4,} and F={1,2}. Then the number of onto functions from E to F, is ______.

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 f={(1,1),(2,3),(0,-1),(,-1,-3)} be a linear function from Z into Z. Find f(x).

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 the set S={f_(1),f_(2),f_(3),f_(4)} of four functions from CC (the set of all complex numbers) to itself, defined by f_(1)(z)=z,f_(2)(z)=-z,f_(3)(z)=(1)/(z)andf_(4)(z)=-(1)/(z) for all zinCC Construct the composition table for the composition of functions (@) defined on the set S. Value of f_(2)@f_(4)(z) is---

Let the set S={f_(1),f_(2),f_(3),f_(4)} of four functions from CC (the set of all complex numbers) to itself, defined by f_(1)(z)=z,f_(2)(z)=-z,f_(3)(z)=(1)/(z)andf_(4)(z)=-(1)/(z) for all zinCC Construct the composition table for the composition of functions (@) defined on the set S. value of f_(2)@f_(1)(z) is--

Let the set S={f_(1),f_(2),f_(3),f_(4)} of four functions from CC (the set of all complex numbers) to itself, defined by f_(1)(z)=z,f_(2)(z)=-z,f_(3)(z)=(1)/(z)andf_(4)(z)=-(1)/(z) for all zinCC Construct the composition table for the composition of functions (@) defined on the set S. Value of f_(4)@f_(1)(z) is ---

Let A = {1,2,3},B ={4,5,6,7} and let f = {(1,4), (2,5), (3,6)} be function from A to B. Show that f is one-one.

Let f: R->R be a continuous onto function satisfying f(x)+f(-x)=0AAx in R . If f(-3)=2 \ a n d \ f(5)=4 \ i n \ [-5,5], then the minimum number of roots of the equation f(x)=0 is

Let f: R->R be a continuous onto function satisfying f(x)+f(-x)=0AAx in R . If f(-3)=2 \ a n d \ f(5)=4 \ i n \ [-5,5], then the minimum number of roots of the equation f(x)=0 is