GMAT Focus EditionQuantitative ReasoningEasy
A caterer is preparing a menu for an event. They offer 3 appetizer choices, 4 main course choices, and 2 dessert choices. If a guest must select one appetizer, one main course, and one dessert, how many different meal combinations are possible?
- A12
- B9
- C36
- D24
Show answer & explanationAnswer & explanation
Correct answer: D. 24
This is a fundamental counting principle problem. To find the total number of combinations, multiply the number of choices for each category. 3 appetizers * 4 main courses * 2 desserts = 24 combinations.
Why the other options are wrong
- A. This might result from a partial multiplication or an error in counting one category.
- B. This would be the sum of the choices (3+4+2=9), which is incorrect for combinations.
- C. This would be a result of an incorrect multiplication or an extra factor.
Fundamental Counting Principle
If an event can occur in 'm' ways, and a second independent event can occur in 'n' ways, then the two events can occur in m * n ways.
- Used to find the total number of possible outcomes.
- Applies when selections are independent.
- Involves multiplication of the number of choices for each step.
Memory trick: Multiply options like building a meal, piece by piece.