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Class 11MathematicsPermutations and CombinationsPermutationsExpert
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(6) distinct letters are placed into (6) distinct envelopes. How many arrangements have exactly (4) letters in their correct envelopes?

Answer and explanation

Correct answer: (15)

Choose the (4) correct letters in (\binom{6}{4}) ways, and derange the remaining (2) letters in (!2=1) way. Exam tip: split exact conditions into fixed and deranged parts.

Related tags

PermutationsDerangementLetters EnvelopesClass 11Permutations And CombinationsMathematicsClass 11 Mcq
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