The formula to calculate the Number of Proper Subsets of Set A is:
\[ N_{\text{Proper}} = 2^{n(A)} - 1 \]
Where:
The Number of Proper Subsets of Set A is the total count of subsets that are possible for a given set, in which no one is equal to the parent set.
Let's assume the following value:
Using the formula:
\[ N_{\text{Proper}} = 2^{10} - 1 \]
Evaluating:
\[ N_{\text{Proper}} = 1023 \]
The Number of Proper Subsets is 1023.
| Number of Elements in Set A (n(A)) | Number of Proper Subsets (NProper) |
|---|---|
| 8 | 255.000000000000 |
| 9 | 511.000000000000 |
| 10 | 1,023.000000000000 |
| 11 | 2,047.000000000000 |
| 12 | 4,095.000000000000 |