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Class 11MathematicsPermutations and CombinationsCombinationsExpert
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A set of (9) elements has (3) special elements. How many (5)-element subsets do not contain all three special elements together?

Answer and explanation

Correct answer: (111)

Subtract ( \binom{6}{2} ) subsets containing all three special elements from total ( \binom{9}{5} ), giving (111). In not-type questions, subtract forbidden selections.

Related tags

Class11CombinationsSubsetsForbidden-CaseExpertPermutations And CombinationsMathematicsClass 11 Mcq
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