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📐 Mathematics  ·  Permutations and Combinations  ·  JEE

Number of ways to arrange letters in MISSISSIPPI:

Answer: 11!/(4!4!2!).

  • A 11!
  • B 11!/(4!4!2!)
  • C 11!/(4!4!)
  • D 11!/4!

Correct answer: B. 11!/(4!4!2!)

Explanation: MISSISSIPPI: 11 letters. M=1, I=4, S=4, P=2. Arrangements = 11!/(1!4!4!2!).

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

Read the full Permutations and Combinations notes →