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 do both.

Front

If James purchased 3 shirts, 3 jackets, and 2 pairs of pants, how many different outfits can he create?

Back

18 different outfits (3 shirts × 3 jackets × 2 pants = 18).

Front

How many outcomes are possible when rolling a die 3 times?

Back

216 outcomes (6 outcomes per roll, so 6 × 6 × 6 = 216).

Front

At Papa John's, if there are 8 different meats, 4 different cheeses, 3 different crust types, and 2 different sauces, how many different pizzas can be made?

Back

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

Front

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

Back

90 different combinations (6 × 3 × 5 = 90).

Front

What is the total number of outcomes for picking a cat or dog and choosing the colors black, brown, or spotted?

Back

6 outcomes (2 animals × 3 colors = 6).

Front

What is a combination in the context of the Fundamental Counting Principle?

Back

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

Front

What is a permutation in the context of the Fundamental Counting Principle?

Back

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

Front

If you have 4 shirts and 2 pairs of pants, how many outfits can you create?

Back

8 outfits (4 shirts × 2 pants = 8).

Front

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

Back

Multiply the number of outcomes for each event together.