Se um conjunto A, possui 10 elementos quantos subconjuntos próprios possui conjunto A? a. 1023 b. 512 c. 1024 d. 19 e. 256

## Step 1<br />The problem is asking for the number of proper subsets of a set A, which has 10 elements. A proper subset is a subset that is not identical to the original set, meaning it can contain fewer elements than the original set, but not more.<br /><br />## Step 2<br />The formula to calculate the number of proper subsets of a set is \(2^n - 1\), where \(n\) is the number of elements in the set. This formula is derived from the fact that each element in the set can either be included or not included in a subset, giving us 2 choices for each element. However, we subtract 1 from the total to exclude the set itself, which is a subset but not a proper subset.<br /><br />## Step 3<br />In this case, the set A has 10 elements, so \(n = 10\). Substituting this into the formula, we get \(2^{10} - 1 = 1024 - 1 = 1023\).