A code consists of three different letters chosen from A, B, C, and D. How many codes are possible if letter order matters?
Show hints
- Choose letters for the three positions one at a time.
- Multiply the 4, 3, and 2 choices.
Show the answer and solution
Answer: 24
There are 4 choices for the first position, 3 for the second, and 2 for the third. The total is 4 × 3 × 2 = 24 codes.