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 ways can you answer 4 true/false questions?

Back

2^4 = 16 ways.

Front

How many ways can you answer 3 multiple choice questions with 4 options each?

Back

4^3 = 64 ways.

Front

If a quiz has 4 true/false questions and 3 multiple choice questions, how many total ways can it be answered?

Back

1024 ways (16 for true/false and 64 for multiple choice: 16 × 64 = 1024).

Front

What is a permutation?

Back

A permutation is an arrangement of objects in a specific order.

Front

How many ways can 3 students present in order?

Back

3! = 3 x 2 x 1 = 6 ways.

Front

What is a factorial?

Back

A factorial, denoted as n!, is the product of all positive integers up to n.

Front

How many outcomes are there when rolling a die and flipping a coin?

Back

12 outcomes (6 outcomes from the die × 2 outcomes from the coin).

Front

What is a tree diagram?

Back

A tree diagram is a visual representation of all possible outcomes of an event.

Front

How many ways can 4 different books be arranged on a shelf?

Back

4! = 4 x 3 x 2 x 1 = 24 ways.