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 formed with 3 letters followed by 3 numbers without repetition?

Back

26 x 25 x 24 x 10 x 9 x 8 = 11232000.

Front

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

Back

6 x 3 x 5 = 90.

Front

What is the probability of rolling a number less than 6 on a die and flipping heads on a coin?

Back

5/12.

Front

How many outfit combinations can be made with 3 shirts and 4 pants?

Back

3 x 4 = 12.

Front

If a test has 6 questions with 4 answer choices each, how many ways can it be answered?

Back

4^6 = 4096.

Front

What does 'no repetition' mean in counting problems?

Back

'No repetition' means that once an item is chosen, it cannot be chosen again.

Front

How do you calculate the total outcomes in a multi-step event?

Back

Multiply the number of outcomes for each step together.

Front

What is an example of a real-life situation where tree diagrams can be used?

Back

Tree diagrams can be used to determine the possible outcomes of a game, such as rolling dice or making choices in a menu.