Let `S = {a , b , c} a n d T = {1, 2, 3}`. Find `F^(-1)`of the following functions F from S to T, if it exists.(i `) F = {(a , 3), (b , 2), (c , 1)}`(ii) `F = {(a , 2), (b , 1), (c , 1)}`

If f:A rarr B,A={1,2,3,4},B={1,2,3} and f(i)!=i then the number of onto functions from A to B is

Let S" "=" "{1," "2," "3} . Determine whether the functions f" ":" "S->S defined as below have inverses. Find f^(-1) , if it exists. (a) f" "=" "{(1," "1)," "(2," "2)," "(3," "3)} (b) f" "=" "{(1," "2)," "(2," "1)," "(3," "1)} (c) f" "=" "

Let A = { a, b,c } and B = {1, 2, 3, 4} . Then the number of elements in the set C = { f : A to B |2 in f(A) and f is not one-one } is

Which of the following functions from A to B are one-one and onto? f_1={(1,\ 3),\ (2,\ 5),\ (3,\ 7)};\ \ A={1,\ 2,\ 3},\ \ B={3,\ 5,\ 7} (ii) f_2={(2,\ a),\ (3,\ b),\ (4,\ c)};\ \ A={2,\ 3,\ 4},\ \ B={a ,\ b ,\ c} (iii) f_3={(a ,\ x),\ (b ,\ x),\ (c ,\ z),\ (d ,\ z)};\ \ A={a ,\ b ,\ c ,\ d},\ \ B={x , y , z}

Let A ={1,2,3 } " and let " f: A to A defined by f ={(1,2),(2,3) , (3,1)} Find f^(-1) if it exists .

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