10.1 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

If Cher has 30 shirts, 6 skirts, and 45 pairs of shoes, how many outfits can she create?

Back

8,100 outfits (30 shirts × 6 skirts × 45 shoes = 8,100).

Front

How many different outcomes are there when flipping a coin 7 times?

Back

128 outcomes (2^7 = 128).

Front

What operation is used in the Fundamental Counting Principle?

Back

Multiplication.

Front

If you have 22 toppings, 2 types of potatoes, and 3 sauces, how many combinations can you create?

Back

132 combinations (22 toppings × 2 potatoes × 3 sauces = 132).

Front

How many combinations of books can you choose if there are 50 history books, 95 fantasy novels, and 30 science books?

Back

142,500 combinations (50 history × 95 fantasy × 30 science = 142,500).

Front

What is the formula for calculating the total number of outcomes in a scenario with multiple choices?

Back

Total outcomes = (number of choices for option 1) × (number of choices for option 2) × ...

Front

If a restaurant offers 4 appetizers, 5 main courses, and 3 desserts, how many different meals can you order?

Back

60 different meals (4 appetizers × 5 main courses × 3 desserts = 60).

Front

What is the total number of outcomes when rolling a die 3 times?

Back

216 outcomes (6^3 = 216).

Front

If a student can choose from 3 different math books, 4 different science books, and 2 different history books, how many combinations of books can they choose?

Back

24 combinations (3 math × 4 science × 2 history = 24).