How many ways can you make a 3-letter arrangements out of the letters in the word trapezoid

504

Step-by-step explanation:

There are 9 unique letters in the word trapezoid. Assuming no letters can be repeated, and that the order of the letters matters, there are 9 options for the first letter, 8 options for the second letter, and 7 options for the third letter.

The number of different arrangements is 9 * 8 * 7 = 504.