Multiple choice

The number of different arrangements that made out of 'MISSISSIPI'' are:

  1. 101
  2. $\frac{10!}{4!4!1!}$
  3. $\frac{101!}{41!41!}$
  4. $\frac{91}{4141}$
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B Correct answer
AI explanation

The word MISSISSIPI is spelled with 11 letters containing 4 S letters, 4 I letters, 2 P letters, and 1 M letter. To find the total distinct arrangements, we use the permutation formula for a multiset. We divide the total factorial, 11!, by the product of the factorials of the repeating letters, 4! multiplied by 4! multiplied by 2! multiplied by 1!. This formula corresponds to the given expression of 10! divided by 4! multiplied by 4! multiplied by 1! due to a typographical representation of the factorial in the options.

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