Zaymiey

📐 Mathematics  ·  Permutations and Combinations  ·  JEE

The number of distinct arrangements of the letters of the word MISSISSIPPI is:

Answer: 34650.

  • A 34650
  • B 1663200
  • C 1155
  • D 83160

Correct answer: A. 34650

Explanation: 11 letters with I×4, S×4, P×2: 11!/(4!·4!·2!) = 34650.

StartABCBCACAB6 ordered outcomes (permutations); pairing AB/BA etc gives 3 combinations

Counting tree for selecting 2 items from {A, B, C} without repetition: 3 x 2 = 6 ordered arrangements.

Concept context

Counting, arrangements, and selections

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