MC - FUNdamental Counting Principle 12/06/24

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 do both.

Front

How many different pizzas can you create with 8 meats, 4 cheeses, 3 crust types, and 2 sauces?

Back

192 different pizzas (8 × 4 × 3 × 2 = 192).

Front

If you have 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes, how many outfits can you create?

Back

80 outfits (5 × 8 × 2 = 80).

Front

What is the formula to calculate the total number of meal combinations?

Back

Multiply the number of choices for each category (e.g., salads × entrees × beverages).

Front

How many meal combinations are available with 2 salads, 3 entrees, and 2 beverages?

Back

12 meal combinations (2 × 3 × 2 = 12).

Front

If Jared can choose between high-top or low-top sneakers, shoelaces or velcro, and 3 colors, how many styles can he create?

Back

12 styles (2 × 2 × 3 = 12).

Front

How many different 1-scoop ice cream cones can you order with 3 types of cones and 31 flavors?

Back

93 different cones (3 × 31 = 93).

Front

What is a combination in counting principles?

Back

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

Front

What is a permutation in counting principles?

Back

A permutation is an arrangement of items where the order does matter.

Front

How do you calculate the total number of combinations when choosing from multiple categories?

Back

Multiply the number of choices in each category together.