If a set $A$ has 2 elements and a set $B$ has 3 elements, then how many relations from $A$ to $B$ ar

Question

If a set $A$ has 2 elements and a set $B$ has 3 elements, then how many relations from $A$ to $B$ are possible?

Professor PC Thomas Classes · Answer

Number of relations from A to B is $2^{n(A) 	imes n(B)} = 2^{2 	imes 3} = 2^6 = 64$.