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Among (13) persons, two particular persons are (P) and (Q). How many ways can (6) persons be chosen so that (P,Q) are either both selected or both not selected?

Answer and explanation

Correct answer: (792)

If both are selected, count ( \binom{11}{4} ); if neither is selected, count ( \binom{11}{6} ), giving (792). Split either both or neither into two cases.

Related tags

Class11CombinationsTogether-Or-NeitherCaseworkExpertPermutations And CombinationsMathematicsClass 11 Mcq

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