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 pizzas can you order if you choose 1 meat from 8, 1 cheese from 4, 1 crust type from 2, and 1 sauce from 2?

Back

128 different pizzas (8 meats × 4 cheeses × 2 crusts × 2 sauces = 128).

Front

How many outcomes are there when flipping four coins?

Back

16 outcomes (2^4 = 16).

Front

How many license plate numbers can be formed with 3 letters followed by 3 numbers if repetition is allowed?

Back

17,576,000 (26^3 × 10^3 = 17,576,000).

Front

What does a tree diagram represent in counting problems?

Back

A tree diagram visually represents all possible outcomes of a sequence of events, showing how many choices are available at each step.

Front

If a quiz has 5 true/false questions, how many different ways can you answer?

Back

32 ways (2^5 = 32).

Front

What is the formula for calculating the number of outcomes in a situation with multiple independent choices?

Back

Multiply the number of choices for each independent event.

Front

If you have 3 shirt options, 2 pants options, and 2 shoe options, how many outfits can you create?

Back

12 outfits (3 × 2 × 2 = 12).

Front

What is the significance of repetition in counting problems?

Back

Repetition allows for the same choice to be made multiple times, increasing the total number of outcomes.

Front

How do you calculate the total number of outcomes for a series of events?

Back

Use the Fundamental Counting Principle: multiply the number of outcomes for each event.