Multiple choice

How many different words can be made out of the letters of the word 'Mississippi'= $\dfrac{(11)!}{4!.4!.2!}$

  1. True

  2. False
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A Correct answer
Explanation

The number of permutations of 'Mississippi' is 11! / (4! * 4! * 2!), where 4 is the count of 'i', 4 is the count of 's', and 2 is the count of 'p'. The formula provided is correct.

AI explanation

The word Mississippi contains 11 total letters. Within the word, the letter S repeats 4 times, the letter I repeats 4 times, and the letter P repeats 2 times. The formula for the permutations of a multiset is the factorial of the total number of items divided by the factorials of the frequencies of each repeating item. Applying this formula gives 11 factorial divided by the product of 4 factorial, 4 factorial, and 2 factorial, making the statement true.

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