Suppose that
A
is a set containing
14
elements. Find the number of different subsets of A.
6y
16384
2x2x2x2x2x2x2x2x2x2x2x2x2x2= 16384
To determine the number of different subsets of a set A with 14 elements, we can use the concept of powerset.
The powerset of a set A is the set of all possible subsets of A, including the empty set and A itself. The number of elements in the powerset is given by 2^n, where n is the number of elements in the original set.
In this case, the set A contains 14 elements. Therefore, the number of different subsets of A is 2^14.
Calculating 2^14, we get 16,384.
Hence, there are 16,384 different subsets of the set A.