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Question 290007
JEE Mathematics · Medium

Permutations and Combinations: Identical items MCQ

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Identical itemsMediumQuestion 290007

Question

The number of ways to arrange MISSISSIPPI (11 letters: M=1, I=4, S=4, P=2) is:
  1. A
    11!/(4!4!2!)
    Correct
  2. B
    11!
  3. C
    11!/4!
  4. D
    11!/(4!2!)

Correct answer

11!/(4!4!2!)

Explanation

Arrangements of n objects with repetitions: n!/(n₁!n₂!...). Here: 11!/(4!×4!×2!) = 34650.

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