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

Answer and explanation

Correct answer: (300)

Choose (1) from (a,b), then choose the remaining (4) so that (c,d) are not both included. The correct expression is \(\binom{2}{1}\left(\binom{10}{4}-\binom{8}{2}\right)=364\).

Related tags

CombinationsClass11HardPermutations And CombinationsMathematicsClass 11 Mcq
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