AP EAMCET2016MathematicsPermutation and Combination
If a set A has 5 elements, then the number of ways of selecting two subsets P and Q from A such that P and Q are mutually disjoint, is
Options
- A64
- B128
- C243
- D729
Correct answer
C. 243
Step-by-step solution
Given set A has 5 elements, there are two subsets P and Q which are mutually disjoint. So, the required number of ways of selecting two subsets will be 3^5=243 .