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 × n ways to perform both actions.

Front

How many different ways can Brianna arrange her schedule of 6 classes?

Back

720 ways (6! = 6 × 5 × 4 × 3 × 2 × 1 = 720).

Front

If a student has 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes, how many outfits can they create?

Back

80 outfits (5 × 8 × 2 = 80).

Front

How many different versions of a car model can be created with 4 trim levels, 5 colors, and 3 interiors?

Back

60 versions (4 × 5 × 3 = 60).

Front

What does a tree diagram represent in counting problems?

Back

A tree diagram visually represents all possible outcomes of a sequence of events, helping to calculate the total number of combinations.

Front

If Jared can choose between high-top or low-top sneakers, shoelaces or velcro, and colors black, white, and red, how many styles can he create?

Back

12 styles (2 × 2 × 3 = 12).

Front

What is a permutation?

Back

A permutation is an arrangement of objects in a specific order, where the order matters.

Front

What is a combination?

Back

A combination is a selection of objects where the order does not matter.

Front

How do you calculate the total number of combinations of outfits with multiple clothing items?

Back

Multiply the number of choices for each clothing item together.

Front

What is the factorial of a number?

Back

The factorial of a number 'n' (denoted as n!) is the product of all positive integers up to 'n'.