[" Leq "A={1,2,3,4,-2.n}*4" ow many bijective "],[" funcfion "f:CA rarr A" can be defived "]

Let A = {0, 1, 2, 3, 4, 5, 6, 7}. Then the number of bijective functions f : A rarr A such that ƒ(1) + ƒ(2) = 3 – ƒ(3) is equal to

Let A ={1,2,3,4} and the mapping f: A rarr A, g: A rarr A be defined by f(1)=3,f(2)=4,f(3)=2,f(4)=1 and g(1)=2, g(2)=4,g(3)=1,g(4)=3 Find (i) (g o f) (4), (ii) (f o g) (1), (iii) (g o f)(3), (iv) (f o g)(2)

Let E={1,2,3,4}andF={1,2}* If N is the number of onto functions from E rarr F then the value of N/2 is

Let A={1,2,3,4} be a given set and f : A rarr A, g : A rarr A be two given functions such that f={(1,4),(2,1),(3,3),(4,2)} g={(1,3),(2,1),(3,2),(4,4)} Find gof, fog, fof, gog .

Let A={1,2,3,4,5}, B={1,2,3,4} and f:A rarr B is a function, then

Let A={1,2,3,4,5}, B={1,2,3,4) and f:A rarr B is a function, the

Let A={1,2,3,4,5}, B={1,2,3,4} and f:A rarr B is a function, then

Show that the function f : N' rarr Z, f(x)=100-x^2 is not bijective.

Let A=RR-{2} and B=RR-{1} . Show that, the function f:A rarr B defined by f(x)=(x-3)/(x-2) is bijective .