Let `X={a_1, a_2, ,a_6}a n dY={b_1, b_2,b_3}dot` The number of functions `f` from `xtoy` such that it is onto and there are exactly three elements `xinX` such that `f(x)=b_1` is 75 (b) 90 (c) 100 (d) 120

Let A = {x_1, x_2, x_3, ,x_7},B={y_1, y_2, y_3} The total number of functions f: A->B that are onto and there are exactly three element x in A such that f(x)=y_2 is equal to a. 490 b. 510 c. 630 d. none of these

Let A={1,3,5}, B={6,7,8} and f={(1,6),(3,7),(5,8)} be a function from A to B . Show that f is one to one and onto function.

Let E={1,2,3,4} and F={1,2} . Then, the number of onto function form E to F is (A) 14 (B) 16 (C) 12 (D) 8

Let A ={ 1,2,3,4,} and B = { a,b,c,d }. Give a function from A to B for each of the : neither one -to -one and nor onto.

Let A ={ 1,2,3,4,} and B = { a,b,c,d }. Give a function from A to B for each of the : not one-to -one but onto.

Let A ={ 1,2,3,4,} and B = { a,b,c,d }. Give a function from A to B for each of the : one-to-one but not onto.

Let A ={ 1,2,3,4,} and B = { a,b,c,d }. Give a function from A to B for each of the : one -to -one and onto.