Given a set with n elements has 2^n subsets.Find the number of subsets for set A={2,3,5,7,11}.
well, how many elements in A?
Oh thanks..its 2^5=32..
correct. The power set of A P(A) is the set of all subsets of A. These would be
{}, {2}, {3},...{2,3},{2,5},... and so on up to A itself.
To find the number of subsets for a given set, you can use the formula 2^n, where n is the number of elements in the set.
In this case, the set A = {2, 3, 5, 7, 11} has a total of 5 elements. So, using the formula, we can calculate:
Number of subsets = 2^n = 2^5 = 32
Therefore, the set A = {2, 3, 5, 7, 11} has a total of 32 subsets.