Final Answer:
The number of different arrangements of the word "equation" that begin with vowels and end with consonants is 2880.
Step-by-step explanation:
The word "equation" has 8 letters: e, q, u, a, t, i, o, n.
There are 3 vowels (e, u, a) and 5 consonants (q, t, i, o, n).
To start with a vowel, there are 3 choices for the first letter.
To end with a consonant, there are 5 choices for the last letter.
The remaining 6 letters can be arranged in 6! (factorial) ways.
Multiply the choices for each position: 3 x 6! x 5 = 2880.
Therefore, there are 2880 different arrangements of the word "equation" that start with a vowel and end with a consonant.