The movie theater offers 12 different types of candy, 6 types of drinks, and 3 sizes of popcorn. If you buy candy, a drink and a bag of popcorn, how many different combinations are there to choose from?
216
100
The football team needs to pick a captain, co-captain, and a waterboy. If there are 30 players on the team, how many different ways can they pick the 3 positions?
24360
100
Your club needs to choose a subcommittee of 5 people. If your club has 25 members, how many ways can you choose those 5 people?
53130
100
What do we call the ! when we are working with probability?
Factorial
100
Miss Bohn has a classroom of 23 students. For a demonstration she needs 4 volunteers. How many ways can she choose 4 students?
8855
200
You want to get a cell phone and you must decide on the right plan. If there are 10 different phones, 6 different calling plans, and 3 different texting plans, how many different plans could you pick from?
180 plans
200
A corporation has a President, VP, Secretary, Historian, and Treasurer. If the corporation has 20 members, how many different ways can they choose the positions?
1860480
200
How many different ways can a director choose 4 actors from a group of 20 actors?
4845
200
What is the difference between combinations and permutations?
Permutations order matters, combinations order does not matter
200
You are asked to list, in order of favorites, the 3 best movies you've seen this year. If you saw 10 movies, how many ways can you rank the 3 movies?
720
300
A popular brank of pens is available in 3 colors, and 4 different tips. How many different choices of pens do you have?
12
300
Your club wants to create a 4 letter password from the letters (SECRETCLUB) How many different password could be created?
5040
300
You are going to the beach for vacation. You plan to read while laying on the beach. You have 15 books at home, but you can only take 10. How many options do you have?
3003
300
Is this situation a combination or permutation?
There are 10 items on the dessert menu, how many different ways can you list your 3 favorite desserts?
What is permutation
300
Bobby wants to have a simple closet, but be able to have a lot of outfits. He goes to the store and bought 3 pairs of pants, 6 shirts, 2 shoes, and 4 neck ties. How many outfits can he make?
144 outfits
400
You flip a coin 6 times. How many different combinations of heads and tails are there for the 6 flips?
64
400
The School is getting ready for graduation. The need to set up 6 chairs on the stage for the school administrators. How many different ways can they arrange the chairs?
720
400
When flights have empty seats in first class they upgrade random people who are flying economy. If there are 2 first class seats available, and 120 people have an economy ticket, how many ways can they choose the 2 who get bumped up to first class?
7140
400
Is this a combination, permutaiton, or counting principle?
The 2015 Mustang offers 3 different types of interior, 5 different colors, and 2 different radios. How many different mustangs could we make?
Counting Principle
400
Jimmy goes to Baskin Robins every day to get a triple scoop ice cream cone. Baskin Robins has 31 flavor choices. He always gets 3 different flavors. How many different ice cream cones can he get?
26970
500
You are buying your first car! Since you have never owned a car before you also need to buy a license plate. An Arkansas License plate has 3 letters followed by 3 numbers. If the letters and number can be repeated, how many different license plates do you have to choose from?
17576000
500
There are 15 balls in the game of pool. How many different ways can you shoot all 15 balls into the pockets?
1,300,000,000,000
500
To win the small county lottery a person must correctly choose 5 numbers from 50 numbers. The order of the numbers does not matter. How many different combination could there be?
2,118,760
500
Is this a combination, permutation, or counting principle?
How many different collections of 8 books can we make from a list of 40 books?
Combination
500
How many different license plates can be made if it has 2 letters and 4 numbers? (letters and numbers may be repeated)