Question

Calculate the number of subsets and the number of proper subsets for the given set.

{x|XEN and 12
Number of subsets: 0
Number of proper subsets:

Answer 1

The given set has 4,096 subsets and 4,095 proper subsets.

Step-by-step explanation:

The given set is x . To calculate the number of subsets, we need to consider that for each element in the set, we have two options: include it in a subset or exclude it. Since there are 12 elements in the set, there are 212 = 4,096 total subsets.

A proper subset is a subset that doesn't include the entire set itself. In this case, the empty set is not considered a proper subset. So, there are 4,096 - 1 = 4,095 proper subsets.