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 do both.

Front

If a customer can choose from 3 types of cones and 31 flavors of ice cream, how many choices do they have?

Back

3 (cones) × 31 (flavors) = 93 choices.

Front

How many outcomes are there for picking a day of the week and a month of the year?

Back

7 (days) × 12 (months) = 84 outcomes.

Front

What is the total number of different pizzas you can create with 8 meats, 4 cheeses, 3 crust types, and 2 sauces?

Back

8 (meats) × 4 (cheeses) × 3 (crusts) × 2 (sauces) = 192 different pizzas.

Front

How do you calculate the number of meal combinations from 2 salads, 3 entrees, and 2 beverages?

Back

2 (salads) × 3 (entrees) × 2 (beverages) = 12 meal combinations.

Front

What is the probability of landing on red first and green second when spinning a spinner twice?

Back

1/10 (red) × 1/10 (green) = 1/100, but if the spinner has 10 sections, it would be 1/9.

Front

Define 'outcome' in the context of probability.

Back

An outcome is a possible result of a probability experiment.

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 find the total number of outcomes when making multiple choices?

Back

Multiply the number of choices for each option together.