Multiple choice

How many permutations are there of the 11 letters in the word 'MISSISSIPPI' taken all together?

  1. 36,582

  2. 34,650

  3. 36,250

  4. 36,210
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total letters = 11. M=1, I=4, S=4, P=2. Permutations = 11! / (4! * 4! * 2!) = 39916800 / (24 * 24 * 2) = 39916800 / 1152 = 34650.

AI explanation

Using the formula for permutations of indistinguishable objects, we calculate 11! divided by the factorial of the frequencies of each repeating letter. The word MISSISSIPPI has 11 letters with M appearing once, I appearing 4 times, S appearing 4 times, and P appearing 2 times. The calculation is 11! divided by (4! multiplied by 4! multiplied by 2!), which equals 39916800 divided by 1152, resulting in 34,650.

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