Question

Consider the word grateful. if all of the letters are used, how many ways can the letters be arranged?

a. 36
b. 720
c. 5,040
d. 40,320

Answer 1

Correct option: d -> 40,320

Explanation:

To find all the arrangements of letters in a word where all the letters are different, we just need to calculate the factorial of the number of letters.

The word "grateful" has 8 different letters, so the number of arrangements of letters is:

8! = 8*7*6*5*4*3*2 = 40,320 different arrangements

Correct option: d