The total number of subsets of {A, B, C} is _____.?

NetherCraft 0

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.


    8 subsets









    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}, {}

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