10. License plates are formed using three letters followed by a four-digit number without repetition of either letters or digits. Zero may be chosen as the first digit of the number. How many license plates can be formed under this pattern?
Added by Vanessa M.
Close
Step 1
After choosing the first letter, we have 25 choices left for the second letter (since we cannot repeat letters). Similarly, we have 24 choices for the third letter. For the first digit, we have 10 choices (0-9). After choosing the first digit, we have 9 choices Show more…
Show all steps
Your feedback will help us improve your experience
Donna Densmore and 85 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
How many different license plates are possible if each contains three letters followed by three digits? How many of these license plates contain no repeated letters and no repeated digits?
Sequences, Induction, and Probability
The Multiplication Principle, Permutations, and Combinations
How many different license plates can be formed by using 3 digits followed by a single letter followed by 3 more digits? How many if the single letter can occur anywhere except last?
Counting and Probability
Counting and Permutations
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD