Probability
What is the difference between a sample space and an event.
An event is a subset of the sample space
The number of permutations is....
the number of possible ways to arrange items in a particular order.
This is the formula for finding combinations if choosing r items of n possible.
What is n!/(r!(n-r)!)
This is a visual way to display all possible outcomes.
What is a tree diagram.
The factorial is simply another way of using this previously learned concept.
What is the multiplication principle?
Choosing three pieces of fruit out of seven total is an example of a permutation/combination.
What is a combination.
How do you calculate the number of subsets for a set with n elements?
What is 2n
This phrase "without replacement" means what?
The number of possibilities is lower.
This is how many ways the letters T R I C K can be arranged.
What is 120 permutations. or 5!
You have six pizza toppings. You create as many 3-topping pizzas as possible. This is how many you can make.
What is 20 pizzas.
If you are ordering ice cream and the menu shows 5 different flavors, 4 different toppings, and 2 different cones, this is the total number of combinations possible.
What is 40.
You pick three cards at random from a deck of cards. This is how you would set up the formula for selecting a 2, 3, then 4 of hearts in a row.
What is 1/52 x 1/51 x 1/50?
Twenty athletes compete in an olympic event. This is how we would find the number of permutations for each one winning gold, silver, and bronze.
What is 20 x 19 x 18. Or 20P3, or 20!/(20-3)!
You select three books from a bookshelf holding eight books. This is how many different sets of books you can choose.
What is 56 books.