Sets, Relations...

The function f(x) which satisfies

Set A has 3 elements and set B has 4 elements. The number of injections that can be defined from A to B is

Let A = {x : x is a multiple of 3}
B = {x : x is a multiple of 5}
Then A ∩ B is given by

Let A = {a, b, d, e }
B = {c, d, f, m}
C = {a, l, m, o}
Then C ∩ (A ∪ B) will be given by

If sets A and B are defined as
A = {(x, y) : y = e^x, x ∈ R}
B = {(x, y) : y = x, x ∈ R}. Then