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

Let A={a, b, c} and B={-2, -1, 0 ,1 ,2} .Write the total number of one-to-one functions from set A to set B .

Let A={1,2,3,4} , B={1,2,3,4,5,6,7,8} the number of one - one functions f: A rarr B such that f(i)!=i , for i=1,2,3,4

A function f: A to B where A ={a,b,c} , B={1,2,3,4} , How many function can be defined from A to B which are not one-one such that 2 belong f(A)

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

Let A={1,2,3,4} and B={1,-2,3,4} If f:A rarr B is an one one function and f(x)!=x for all x in A, then find the no of possible functions,is

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)}

Let A" "=" "{1," "2," "3} , B" "=" "{4," "5," "6," "7} and let f" "=" "{(1," "4)," "(2," "5)," "(3," "6)} be a function from A to B. Show that f is one-one.