Question

I’m trying to take notes before my exam with practice questions and I’m confused I believe the answer is 512 or 511 I’m confused to where I’m suppose to -1 or leave as is I know it’s 2^9

Answer 1

Subsets of a Set

A subset of A is another set that contains only elements from set A, but may not contain all the elements of A.

A proper subset is a subset that is not identical to the original set—it contains fewer elements

We are given a set with 9 elements. The number of subsets is given by

`2^9=512`

It includes the original set as its own subset. A proper subset cannot include the original set, so we would have to subtract 1, but this does not appear to be the case, since it's not required to exclude the original subset, thus the answer is 512