231k views
2 votes
A six-character license plate can be any three letters of the alphabet, followed by any three numerical digits. How many different license plates are possible?

User Boxmein
by
8.3k points

1 Answer

4 votes

Answer:

17,576,000 different license plates are possible.

Explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

In this question:

For each letter, there are 26 possible outcomes.

For each digit, 10 possible outcomes.

So

L - L - L - D - D - D

Number of possible outcomes:

26 - 26 - 26 - 10 - 10 - 10

Each character of the license plate is independent, so, by the fundamental counting principle:

26*26*26*10*10*10 = 17,576,000

17,576,000 different license plates are possible.

User Raunak Agarwal
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.