Number of Non Empty Proper Subsets of Set A Calculator

Calculate Number of Non Empty Proper Subsets



Formula

The formula to calculate the Number of Non Empty Proper Subsets of Set A is:

\[ N_{\text{Non Empty Proper}} = 2^{n(A)} - 2 \]

Where:

Definition

The Number of Non Empty Proper Subsets is the total count of subsets that are possible for a given set, each containing at least one element but not equal to the parent set.

Example Calculation

Let's assume the following value:

Using the formula:

\[ N_{\text{Non Empty Proper}} = 2^{10} - 2 \]

Evaluating:

\[ N_{\text{Non Empty Proper}} = 1022 \]

The Number of Non Empty Proper Subsets is 1022.

Conversion Chart

Number of Elements in Set A (n(A)) Number of Non Empty Proper Subsets (NNon Empty Proper)
8 254.000000000000
9 510.000000000000
10 1,022.000000000000
11 2,046.000000000000
12 4,094.000000000000