3 Answers

There are two choices for what to do with each element:
– You can include it in the subset
– You can exclude it from the subset
2 choices for A
2 choices for B
2 choices for C
Number of subsets
= 2 x 2 x 2
= 2^3
= 8 subsets
Note: That includes the set with *no* elements, the null set. It also includes the complete set of terms. For other questions, they may ask for the number of subsets with at least one element and you’d subtract 1 for the empty set. Alternatively, you might see a question asking for the number of “proper” subsets. That would exclude the complete set from being a subset. But in your case, I see no restrictions.
Answer:
8 subsets
{}
{A}
{B}
{C}
{A,B}
{A,C}
{B,C}
{A,B,C}
P.S. In general, for a set with n elements, there are 2^n subsets.

2^3=8

eight:
{A}, {B}, {C},
{A, B}, {B, C}, {A, C},
{A, B, C}, {}