Geometry

Question Analysis
This question involves calculating the number of permutations of a word with multiple repeated letters.
The main focus is on using the formula for permutations of multi - sets, , where is the total number of letters and are the numbers of times each repeated letter appears.

Key Concept Explanation
The formula for permutations of multi - sets adjusts the total number of permutations of objects to account for the repetitions.
Without this adjustment, we would over - count the number of distinct arrangements due to the repeated letters.

Step - by - Step Solution
The word “MISSISSIPPI” has letters in total.
The letter 'I' is repeated times, the letter 'S' is repeated times, and the letter 'P' is repeated times.
We use the formula .
First, calculate the factorial values:
.

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