Let `E={1,2,3,4}a n dF-{1,2}dot` If `N` is the number of onto functions from`EtoF ,` then the value of `N//2` is

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

Statement 1: let E={1,2,3,4}a n dF={a ,b}dot Then the number of onto functions from EtoFi s14. Statement 2: Number of ways in which four distinct objects can be distributed into two different boxes is 14 if no box remains empty.

Let E={1,2,3,4} and F={1,2} . Then, the number of onto function form E to F is (A) 14 (B) 16 (C) 12 (D) 8

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

There will be no onto function from A to B when n(A) =4, n(B) =5

If p=(8+3sqrt(7))^n a n df=p-[p],w h e r e[dot] denotes the greatest integer function, then the value of p(1-f) is equal to a. 1 b. 2 c. 2^n d. 2^(2n)

Let A be a set of n distinct elements. Then the total number of distinct function from AtoA is ______ and out of these, _____ are onto functions.

Let f(x)a n dg(x) be bijective functions where f:{1, b , c , d}vec{1,2,3,4}a n dg:{3,4,5,6}vec{2, x , y , z}, respectively. Then, find the number of elements in the range of g"("f(x)"}"dot

If composite function f_1(f_2(f_3((f_n(x))))n timesis an decreasing function and if r of f_i ' s are decreasing function while rest are increasing, then the maximum value of r(n-r) is (n^2-1)/4 , when n is an even number (n^2)/4, when n is an odd number (n^2-1)/4, when n is an odd number (n^2)/4, when n is an even number