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

If a cafeteria serves 3 types of sandwiches and 2 types of drinks, how many combinations can be made?

Back

3 sandwiches × 2 drinks = 6 combinations (TW, TM, CW, CM, PW, PM).

Front

How many choices does a customer have if they can choose from 3 types of cones and 31 flavors of ice cream?

Back

2 events: 1 choice of cone and 1 choice of ice cream.

Front

What is the total number of different pizzas possible with 8 meats, 4 cheeses, 3 crust types, and 2 sauces?

Back

8 meats × 4 cheeses × 3 crusts × 2 sauces = 192 different pizzas.

Front

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

Back

6 outcomes from the die × 2 outcomes from the coin = 12 total outcomes.

Front

If a menu has 6 sandwiches, 3 types of chips, and 5 beverages, how many lunch combinations can be ordered?

Back

6 sandwiches × 3 chips × 5 beverages = 90 combinations.

Front

What is a tree diagram?

Back

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

Front

Define 'outcome' in probability.

Back

An outcome is a possible result of a probability experiment.

Front

What is a combination in counting principles?

Back

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

Front

What is a permutation in counting principles?

Back

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