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Subjects
Class 11MathematicsPermutations and CombinationsPermutationsHard
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(8) distinct letters are placed in (8) distinct envelopes. In how many ways will exactly (6) letters be in correct envelopes?

Answer and explanation

Correct answer: (28)

Choose the (2) incorrect letters in (\binom{8}{2}) ways and they must swap. Hence (\binom{8}{2}\cdot!2=28).

Related tags

PermutationsDerangementExactly CorrectPermutations And CombinationsMathematicsClass 11 Mcq
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