Fundamental Counting Principle — Engineering Board Exam Practice Questions

5 free engineering board exam reviewer questions on Fundamental Counting Principle (Combinatorics and Probability), each with the correct answer and a worked solution.

1. A restaurant offers 4 appetizers, 6 main courses, and 3 desserts. How many different 3-course meals (one from each category) can be ordered?
2. A license plate consists of 3 letters followed by 4 digits, and repetition is allowed. How many different license plates are possible?
3. How many different outfits can be made from 5 shirts, 3 pants, and 2 pairs of shoes?
4. A coin is tossed 5 times. How many different sequences of heads and tails are possible?
5. How many 4-digit numbers can be formed using the digits 1 through 9 (no repetition) if the number must be even?