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From (6) couples, (5) persons are chosen with exactly one married couple included. How many selections are possible?

Answer and explanation

Correct answer: (480)

Choose the couple ( \binom{6}{1} ), then (3) other couples ( \binom{5}{3} ), and one person from each (2^3), giving (480). After fixing exactly one couple, choose only one person from each remaining couple.

Related tags

Class11CombinationsCouplesExactly-One-PairExpertPermutations And CombinationsMathematicsClass 11 Mcq

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