Question

A={0,1,2,3}
B={-2,-1,0}
Write power set of A∩B

Answer 1

Answer:

0

since set A and Set B have only one common number that is zero.

Answer 2

Answer:

The power set is the set of all subsets. That set over there has 6 elements, so its power set will have 26 elements. I’m not going to list them out, but if you want to, the easiest way to do it on paper is to first consider the subsets of size 0 (just the empty set), then those of size 1 and so on.

The subsets of size 6 and 5 are as easy as those of size 0 and 1 . Size 2 and 4 are equivalent as well (every subset of size k is associated with a subset of size 6−k , which is the complement).

The only “annoying” ones to write down are those of size 3 , of which there are 20 .