How many functions are possible from the set `A={1,2,3}` in to itselt if `f(1)!=1,f(2)!=2` and `f(3)!=3`.

How many of the following are possible 1p,2s,3p,3f,3d

The total number of function f from the set (1,2,3) into the set (1,2,3,4,5) such that f(i)<=f(j)AA i

Let f be two differentiable function satisfying f(1)=1,f(2)=4, f(3)=9 , then

If f(x) is a twice differentiable function and given that f(1)=2,f(2)=5 and f(3)=10 then

Let f:Ivec I be a function (I is set of integers ) such that f(0)=1,f(f(n)=f(f(n+2)+2)=n then f(3)=0 b.f(2)=0 c.f(3)=-2 d.f is many one function

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

Suppose f^(-1) is the inverse function of a differentiable function f and let G(x)=(1)/(f^(-1)(x)) If f(3)=2 and f'(3)=(1)/(9), find G'(2)