Tree Diagrams and Fundamental Counting Principle

Front

What is a tree diagram?

Back

A tree diagram is a visual representation that shows all possible outcomes of a sequence of events, branching out from a starting point.

Front

What is the Fundamental Counting Principle?

Back

The Fundamental Counting Principle states that if one event can occur in 'm' ways and a second event can occur independently in 'n' ways, then the two events can occur in 'm x n' ways.

Front

How many different license plates can be made with 3 letters followed by 3 numbers without repetition?

Back

26 x 25 x 24 x 10 x 9 x 8 = 11,232,000.

Front

If a store sells handbags in 2 colors and 2 sizes, how many combinations are possible?

Back

2 colors x 2 sizes = 4 combinations.

Front

How many different 1-topping pizzas can be made with 3 sizes and 14 toppings?

Back

3 sizes x 14 toppings = 42 different 1-topping pizzas.

Front

How do you calculate the total number of different pizzas with multiple choices?

Back

Multiply the number of choices for each category (e.g., meats, cheeses, crusts, sauces).

Front

What is the total number of outfit combinations with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

Back

5 jeans x 8 t-shirts x 2 shoes = 80 outfits.

Front

What is the formula for calculating combinations in a scenario with multiple choices?

Back

Total combinations = (Choice 1) x (Choice 2) x (Choice 3) ...

Front

What is an example of a real-life application of tree diagrams?

Back

Tree diagrams can be used to determine all possible outcomes when rolling dice or making choices in a game.

Front

What does it mean for choices to be independent in the context of the Fundamental Counting Principle?

Back

Choices are independent if the outcome of one choice does not affect the outcome of another.