AP EAMCET · Maths · Permutation Combination
If a team of 4 persons is to be selected out of 4 married couples to play mixed doubles tennis game, then the number of ways of forming a team in which no married couple appears, is
- A \(12\)
- B \(8\)
- C \(6\)
- D \(24\)
Answer & Solution
Correct Answer
(C) \(6\)
Step-by-step Solution
Detailed explanation
Select 2 couples from 4 to contribute men: \(\binom{4}{2}\) ways. The remaining 2 couples must contribute women: \(\binom{2}{2}\) ways. Total ways = \(\binom{4}{2} \times \binom{2}{2} = 6 \times 1 = 6\)
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