Fundamental Counting Principle

Front

What is the Fundamental Counting Principle?

Back

The Fundamental Counting Principle states that if there are 'm' ways to do one thing and 'n' ways to do another, then there are m x n ways to do both.

Front

If a restaurant serves 5 main dishes, 3 salads, and 4 desserts, how many different meals can be ordered?

Back

5 x 3 x 4 = 60

Front

What is the value of 8! (8 factorial)?

Back

40320

Front

How many different license plates can be made with 3 letters followed by 3 numbers, with no repetition allowed?

Back

26 x 25 x 24 x 10 x 9 x 8 = 11232000

Front

What does a tree diagram represent in counting problems?

Back

A tree diagram visually represents all possible outcomes of a sequence of events, showing how many choices are available at each step.

Front

At a car dealership, if a model comes in 4 trim levels, 5 colors, and 3 interiors, how many different versions can be created?

Back

4 x 5 x 3 = 60

Front

What is the formula for calculating permutations of 'n' items taken 'r' at a time?

Back

P(n, r) = n! / (n - r)!.

Front

What is the difference between permutations and combinations?

Back

Permutations consider the order of selection, while combinations do not.

Front

How do you calculate the number of combinations of 'n' items taken 'r' at a time?

Back

C(n, r) = n! / (r! * (n - r)!).

Front

If you have 3 shirts, 2 pants, and 2 shoes, how many outfits can you create?

Back

3 x 2 x 2 = 12.