<p><a target="_blank" href="https://www.prepswift.com/quizzes/quiz/prepswift-permutations-with-repeats">Permutations with Repeats Exercise</a></p><p>If, for example, we want to find the number of ways of arranging the letters of a word where there are multiple characters of the same letter, we need to divide by the factorial of the number of repeats (of that character). </p>
<p>For example, consider the word MISSISSIPPI. That word has</p>
<ul>
<li>four Ss</li>
<li>four Is</li>
<li>two Ps</li>
</ul>
<p>Hence, the number of ways of arranging that word would be </p>
<p>$$\frac{11!}{4! \times 4! \times 2!}$$</p>