9.5 Fundamental Counting Principal

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 pizzas can be made with 8 meats, 4 cheeses, 3 crust types, and 2 sauces?

Back

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

Front

If a car model has 4 trim levels, 5 colors, and 3 interiors, how many versions can be created?

Back

60 different versions (4 × 5 × 3 = 60).

Front

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

Back

216 outcomes (6 × 6 × 6 = 216).

Front

If Mr. Hickman makes a sandwich with ham, Swiss cheese, and mustard, what is the probability of this combination?

Back

1/12 (There are 3 types of meat, 2 types of cheese, and 2 types of condiments: 3 × 2 × 2 = 12 total combinations).

Front

How many different lunch combinations can be made with 6 sandwiches, 3 types of chips, and 5 beverages?

Back

270 combinations (6 × 3 × 5 = 90).

Front

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

Back

Multiply the number of choices for each category together.

Front

If you have 3 shirts and 4 pairs of pants, how many outfits can you create?

Back

12 outfits (3 × 4 = 12).

Front

What is the probability of selecting a specific sandwich from a menu of 6 sandwiches?

Back

1/6 (There are 6 sandwiches, so the probability of choosing one specific sandwich is 1 out of 6).

Front

How do you calculate the total outcomes for independent events?

Back

Multiply the number of outcomes for each independent event.