If `f(1)+f(2)+f(3)=3 and A={0,1,2,3,. . . 9}` , then find the number of bijective function `f:A to A` which satisfy?

If A={1,2,3,4} and f : A->A, then total number of invertible functions,'f',such that f(2)!=2,f(4)!=4,f(1)=1 is equal to:

Let f(x) be an even function & even degree polynomial such that f((1)/(2))=(1)/(2),f(1)=1,f(2)=-3,f(3)=5 then minimum number of points of inflection for f(x) is

Let f(x) is a continuous function such that f(-1) = -2,f(0) = -1,f(1) = 0,f (2) = 1, f(3) = 0,f (4) = -1 and f(5) = 1 then minimum number of roots of f'(x) + xf " (x) = 0 in the interval (-1,5) are

For x in R-{0,1}, " let " f_(1)(x)=(1)/(x), f_(2)(x)=1-x and f_(3)(x)=(1)/(1-x) be three given functions. If a function, J(x) satisfies (f_(2) @J@f_(1))(x)=f_(3)(x), " then " J(x) is equal to

If a function satisfies f(x+1)+f(x-1)=sqrt(2)f(x), then find the period of f(x)

If a function satisfies f(x+1)+f(x-1)=sqrt(2)f(x), then find the period of f(x)

If f is a linear function and f(2)=4,f(-1)=3 then find f(x)

Consider the function f:A rarr A where A:{1,2,3,4,5} which satisfy the condition f(f(x))=x, If the number of such functions are lambda, then

Let A={1,2,3,4}. The number of functions f:A rarr A satisfying f(f)=1 for all 1<=i<=4 is (A) 1( B) 6(C)9(D)10