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Subjects
Class 11MathematicsPermutations and CombinationsCombinationsHard
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From (12) distinct letters (5) letters are to be selected containing (a), not containing (b), and containing exactly one of (c,d). How many ways are there?

Answer and explanation

Correct answer: (112)

The letter (a) is fixed and (b) is excluded. Choose (1) from (c,d) and (3) from the remaining (8), so (\binom{2}{1}\binom{8}{3}=112).

Related tags

CombinationsClass11HardPermutations And CombinationsMathematicsClass 11 Mcq
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