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Class 11MathematicsPermutations and CombinationsCombinationsExpert
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From (9) members, (4) are to be chosen. Both members of pair (P) cannot be chosen together and at least (1) member of pair (Q) must be chosen. The two pairs are disjoint. How many selections are possible?

Answer and explanation

Correct answer: (80)

First count selections with at least (1) member from (Q): (^{9}C_{4}-^{7}C_{4}=91). Subtract (^{7}C_{2}-^{5}C_{2}=11) cases containing both members of (P), giving (80).

Related tags

Mixed-RestrictionsInclusion-ExclusionExpertCombinationsPermutations And CombinationsMathematicsClass 11 Mcq
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