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Subjects
Class 11MathematicsPermutations and CombinationsFundamental principle of countingHard
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(6) distinct letters are to be placed into (6) distinct envelopes. Exactly (1) letter must go into its correct envelope. How many ways are possible?

Answer and explanation

Correct answer: (265)

There are (6) choices for the correct letter and the remaining (5) letters must be deranged in (!5=44) ways. Exactly-correct conditions often use derangements.

Related tags

DerangementLettersCountingFundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq
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