Find the probability that in a random arrangement of the letters of the word ‘UNIVERSITY’ the two I’s come together.

Explanation

To solve the problem of finding the probability that in a random arrangement of the letters of the word "UNIVERSITY," the two I's come together, we can follow these steps:

### Step 1: Identify the total number of letters and their arrangements
The word "UNIVERSITY" consists of 10 letters: U, N, I, V, E, R, S, I, T, Y. Among these letters, the letter I appears twice.

**Total arrangements** can be calculated using the formula for permutations of multiset:
\[
\text{Total arrangements} = \frac{n!}{r_1! \times r_2! \times \ldots}
...