Fundamental Counting Principle

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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.

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How many styles of sneakers can Jared choose if he has 2 types of sneakers, 2 types of closures, and 3 colors?

Back

12 styles (2 types × 2 closures × 3 colors = 12).

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If you roll a die (6 sides) and flip a coin (2 sides), how many possible outcomes are there?

Back

12 outcomes (6 sides of the die × 2 sides of the coin = 12).

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How many different ice cream combinations can you make with 4 flavors and 4 toppings in 2 serving options?

Back

32 combinations (4 flavors × 4 toppings × 2 serving options = 32).

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What is the total number of outcomes when choosing between 4 types of chips, 2 styles, and 2 bag sizes?

Back

16 outcomes (4 types × 2 styles × 2 sizes = 16).

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How many outfits can you create with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

Back

80 outfits (5 jeans × 8 t-shirts × 2 shoes = 80).

Front

What is a combination in the context of the Fundamental Counting Principle?

Back

A combination refers to the selection of items where the order does not matter.

Front

What is a permutation in the context of the Fundamental Counting Principle?

Back

A permutation refers to the arrangement of items where the order does matter.

Front

If a restaurant offers 3 appetizers, 4 main courses, and 2 desserts, how many different meals can you create?

Back

24 meals (3 appetizers × 4 main courses × 2 desserts = 24).

Front

What is the formula for calculating the total number of outcomes using the Fundamental Counting Principle?

Back

Total outcomes = (number of choices for first option) × (number of choices for second option) × ...