Find the probability that in a random arrangement of the letters of the word UNIVERSITY the two I's do not come together.

Explanation

To find the probability that in a random arrangement of the letters of the word "UNIVERSITY," the two I's do not come together, we can follow these steps:

### Step 1: Calculate the Total Arrangements
The word "UNIVERSITY" consists of 10 letters, where the letter 'I' appears twice. The total number of arrangements of the letters can be calculated using the formula for permutations of multiset:

\[ \text{Total arrangements} = \frac{n!}{p_1! \cdot p_2! \cdots p_k!} \]
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