For example, 1: Find the subset of {0, 1} and the proper subset.
The subsets are: {0}, {1}, {0, 1}, φ, and the number of subsets is 2 n (n is the number of elements).
Proper subset has: {0}, {1}, φ. The number of proper subset is one less in the subset: 2 n- 1.
Example 2: Find the subset of {0, 1, 2} and the proper subset.
These subsets are: {0}, {1}, {2},
{0, 1},{0,2},{ 1,2},
{0, 1,2},φ (2^3=8)
Proper subset: {0}, {1}, {2},
{0, 1},{0,2},{ 1,2},φ (2^3- 1=7)