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 x n ways to do both.

Front

How do you calculate the total number of outcomes using the Fundamental Counting Principle?

Back

Multiply the number of choices for each category together.

Front

If you have 4 types of crusts, 5 types of cheese, 2 sauces, and 10 toppings, how many different 1-topping pizzas can you make?

Back

400, because 4 x 5 x 2 x 10 = 400.

Front

How many different codes can you create using 4 digits from 0-9 without repeating any digit?

Back

5,040, because 10 x 9 x 8 x 7 = 5,040.

Front

What is the total number of outfits possible with 5 shirts, 3 jackets, 2 pants, and 3 shoes?

Back

90, because 5 x 3 x 2 x 3 = 90.

Front

How many different license plates can be made with 3 letters and 3 digits, allowing reuse?

Back

17,576,000, because 26 x 26 x 26 x 10 x 10 x 10.

Front

What is an example of using the Fundamental Counting Principle in real life?

Back

Choosing an outfit from different categories like shirts, pants, and shoes.

Front

If you have 3 different types of ice cream and 2 types of cones, how many combinations can you make?

Back

6, because 3 x 2 = 6.

Front

What is the formula for calculating combinations when order does not matter?

Back

C(n, r) = n! / (r!(n - r)!), where n is the total items and r is the items chosen.

Front

What is the difference between permutations and combinations?

Back

Permutations consider order, while combinations do not.