What is the total number of possible 5-letter arrangements of the letters D, I, S, C, and O, if each letter is used only once in each arrangement?

1 Answer
Dec 27, 2015

If you can only use each letter once and since each letter is distinct , there are 120 possible arrangements .

Explanation:

There are 5 ways to choose the first letter. Next, there are 4 ways to pick the second letter. Similarly, there are 3, 2, and 1 way to pick the third, fourth and fifth letters, respectively.

In total, #5! = 5xx4xx3xx2xx1=120# possible distinct arrangements without repetition.

hope that helped