Dec 11 B1 BW Tree diagrams and 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

How do you calculate the total number of outcomes using a tree diagram?

Back

You multiply the number of outcomes at each branch of the tree.

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 you have 3 shirts and 4 pants, how many outfit combinations can you create?

Back

12 combinations (3 shirts × 4 pants = 12).

Front

What is the total number of outcomes when rolling a die and flipping a coin?

Back

12 outcomes (6 outcomes from the die × 2 outcomes from the coin = 12).

Front

How many total outcomes are there if you can choose from 3 activities, 4 food options, and 3 additional activities?

Back

36 outcomes (3 × 4 × 3 = 36).

Front

What do you do when applying the Fundamental Counting Principle?

Back

You multiply the number of options in each category.

Front

What is the formula for calculating combinations?

Back

The formula for combinations is C(n, r) = n! / (r!(n - r)!), where n is the total number of items, and r is the number of items to choose.

Front

What is the difference between permutations and combinations?

Back

Permutations consider the order of selection, while combinations do not.

Front

If you have 5 different books and want to arrange them on a shelf, how many arrangements can you make?

Back

120 arrangements (5! = 5 × 4 × 3 × 2 × 1 = 120).