how many subsets and proper set does the set {a,b,c,d,e} have

Question

how many subsets and proper sets does the set {a,b,c,d,e} have

Answer 1

Find all sets with only 1 element; {a}, {b}, ...

Find all sets with only 2 elements; {a,b}, {a,c}, ...

Find all sets with only 3 elements; {b,c,d}, ...

Find all sets with only 4 elements; {a,b,c,d}, ...

Don't forget the null set or empty set, the set containing no elements, denoted by the symbol Ø. The null set is a subset of every set.

Don't forget the set containing all of the elements; every set is a subset of itself.

All sets are proper subsets except the set that contains all of the elements.

The number of subsets is always 2^n where n is the number of elements in the set; in this case 5.

There should be 2^5=32 subsets including the empty set and the set itself.