If n(A)= 8, then how many proper subsets does A have?
To determine the number of proper subsets of a set A, we need to consider that a proper subset is a subset that includes some but not all of the elements of the original set.
If n(A) = 8, it means that set A has 8 elements. When finding the number of proper subsets, we need to exclude the empty set and the set A itself since they are not considered proper subsets.
To calculate the number of proper subsets, we can use the formula 2^n, where n is the number of elements in set A.
In this case, n(A) = 8. So, the number of proper subsets of A would be 2^8 - 2 = 256 - 2 = 254.
Therefore, set A has 254 proper subsets.