Definitions
This is an arrangement of objects in a specific order.
What is a permutation?
How many ways can 3 books be arranged on a shelf?
What is 3! = 6 ways?
How many ways can you choose 2 fruits from apples, bananas, and oranges?
What is 3 ways?
In how many ways can 4 trophies be arranged on a shelf?
What is 4! = 24 ways?
How many ways can you choose 2 ice cream flavors from 5 options?
What is 10 ways?
This is a selection of objects where order does not matter.
What is a combination?
How many ways can 5 students line up for a photo?
What is 5! = 120 ways?
What is 10 ways?
A password consists of 3 different letters. How many different passwords can be made from the alphabet?
What is 15,600 ways?
A club has 10 members. How many ways can a president and vice president be chosen if order does not matter?
What is 45 ways?
This term refers to the total number of ways to arrange all items in a set.
What is factorial?
How many ways can you arrange the letters A, B, and C?
What is 6 ways?
How many ways can a committee of 3 be chosen from 6 people?
What is 20 ways?
How many ways can 5 people be assigned to 5 different jobs?
What is 120 ways?
How many ways can 4 students be selected from a class of 15 to form a group?
What is 1,365 ways?
This is the formula for the number of ways to choose and arrange a subset of items from a larger set, where order matters.
What is (insert formula here)?
How many different ways can 4 people be seated in 3 chairs?
What is 24 ways?
How many ways can you select 4 cards from a standard deck of 52?
What is 270,725 ways?
How many 3-digit numbers can be formed using the digits 1-5 without repetition?
What is 60 ways?
From 8 candidates, how many ways can a committee of 5 be formed?
What is 56 ways?
This is the formula for the number of ways to choose r objects from n distinct objects without regard to order.
What is (insert formula here)?
How many ways can 7 runners finish 1st, 2nd, and 3rd?
What is 210 ways?
How many ways can you choose 5 students from a class of 12?
What is 792 ways?
How many ways can 8 runners finish first, second, and third (no ties)?
What is 336 ways?
How many ways can you select 6 books from a shelf of 10 for a summer reading list?
What is 210 ways?