AP EAMCET · Maths · Permutation 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
- A \(64\)
- B \(128\)
- C \(243\)
- D \(729\)
Answer & Solution
Correct Answer
(C) \(243\)
Step-by-step Solution
Detailed explanation
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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