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

How many different versions of a car can be created with 4 trim levels, 5 colors, and 3 interiors?

Back

60 (4 trim levels × 5 colors × 3 interiors = 60)

Front

What is a sample space in probability?

Back

A sample space is a list of all possible outcomes of an event.

Front

If a spinner has 8 equal sections, what is the sample space?

Back

{1, 2, 3, 4, 5, 6, 7, 8}

Front

How many 6-digit access codes can be created if each digit can be repeated?

Back

1,000,000 (10^6 = 1,000,000) because there are 10 choices for each digit.

Front

What is a combination in counting?

Back

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

Front

What is a permutation in counting?

Back

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

Front

If you have 3 shirts and 2 pairs of pants, how many outfits can you create?

Back

6 outfits (3 shirts × 2 pants = 6)

Front

What is the difference between a sample space and an event?

Back

A sample space is the set of all possible outcomes, while an event is a specific outcome or set of outcomes from the sample space.

Front

How do you calculate the total number of outcomes for multiple independent events?

Back

Multiply the number of outcomes for each event together.