A word consist of 9 letters; 5 consonants and 4 vowels. Three letters are chosen at random. What is the probability that more than one vowel will be selected?

Explanation

To solve the problem, we need to find the probability of selecting more than one vowel when choosing three letters from a word that consists of 5 consonants and 4 vowels.

### Step-by-Step Solution:

1. **Identify Total Outcomes**:
The total number of ways to choose 3 letters from 9 letters (5 consonants + 4 vowels) can be calculated using the combination formula \( C(n, r) \), which is given by:
\[
C(n, r) = \frac{n!}{r!(n-r)!}
...