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Class 11MathematicsPermutations and CombinationsCombinationsHard
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How many (7)-element subsets can be formed from (A={1,2,3,4,5,6,7,8,9,10,11,12,13,14}) that contain (1) and (2) but not (3) and (4)?

Answer and explanation

Correct answer: (252)

The elements (1), (2) are fixed and (3), (4) are excluded. The remaining (5) elements are chosen from (10), so (\binom{10}{5}=252).

Related tags

CombinationsClass11HardPermutations And CombinationsMathematicsClass 11 Mcq
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