Maths · Power set
Let What is the maximum number of subsets does have ?
Let \( S=\{2,4,6,8, \dots . .20\} . \) What is the maximum number of subsets does \( \boldsymbol{S} \) have ?
- A. 10
- B. 20
- C. 512
- D. 1024
Step-by-step solution
The set S has 10 elements (2,4,6,...,20). The number of subsets of a set with n elements is 2^n, so maximum subsets = 2^10 = 1024.