Maths · Power set
If then the number of subsets of that contain the element 2 but not is
If \( A=\{1,2,3,4\}, \) then the number of subsets of \( A \) that contain the element 2 but not \( 3, \) is
- A. 16
- B. 4
- C. 8
- D. 24
Step-by-step solution
We need subsets of A={1,2,3,4} that contain 2 and do not contain 3. So 2 is fixed, 3 is excluded. The remaining elements are 1 and 4, each can be either present or absent. Thus number of such subsets = 2^2 = 4.