How many possible distinct arrangements are there of the letters in the word DOG?
To arrange the letters in a word, I can think of choosing a letter for each position, starting from the first. For the first position, I have three choices, since there are three letters in DOG. For the second position, I have two choices left, since I cannot repeat the letter I already used. For the third position, I have only one choice left, which is the remaining letter. So, the total number of arrangements is the product of the number of choices for each position: 3 x 2 x 1 = 6. 