Question

If a set A has 8 clements and a set B
has 10 elements, how many relations
are there from A to B ?
15
(В)
(C)
280
None of these
be the set of all prime numbers.​

Answer 1

If a set A has 8 elements and a set B has 10 elements, how many relations are there from A to B? Explanation: Let, a relation R from A to B is a subset of A×B. As the maximum number of subsets (Elements in the powerset) is 2mn, there are 2mn number of relations from A to B and so the answer is 280.