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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

  1. A64
  2. B128
  3. C243
  4. 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 .

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