The formula is [tex] 2^{number of elements } [/tex] in the set.
This set {1,2,3} has 3 elements, so the number of subsets is gotten by
substituting 3 for the number of elements in the set:
2number of elements in the set = [tex] 2^{3} [/tex] = 2x2x2 = 8. So there are 8 subsets. They are:
1. { } or ∅, the empty set, sometimes called the "null" set.
2. {1}
3. {2}
4. {3}
5. {1,2}
6. {1,3}
7. {2,3}
8. {1,2,3}.