Factorials
You are choosing between 3 shirts, 2 pants, and 3 shoe options. How many outfits could you make?
What is 18?
5 P 2
What is 20?
How many different committees of 3 people can be chosen to work on a special project from a group of 9 people?
What is combination, 84?
5 C 2
What is 10?
0!
What is 1?
A smartphone model is available in 5 colors, 3 storage capacities, and 2 connectivity options (Wi-Fi only or Wi-Fi + Cellular). How many different configurations of this smartphone can you order?
What is 30?
How many ways can you elect a Chairman and Co-chairman to a committee if there are 10 candidates to choose from?
What is 90?
A coffee shop offers 3 types of coffee, 4 flavors, and 2 sizes. How many different coffee orders can you make?
What is fundamental counting principle, 24?
8 C 2
What is 28?
5040
What is 7!
The number of outcomes when rolling two fair dice.
What is 36?
10 P 3
What is 720?
Suppose that there are 7 people in a swimming competition. Assuming that there are no ties, in how many ways could the gold, silver and bronze medals be awarded?
What is permutation, 210?
You are packing for a trip and need to choose 2 books to bring out of your 6 favorites. How many combinations of books can you bring?
What is 15?
5! / 2!
What is 60?
Pennsylvania license plates have 3 letters followed by 4 digits. If the same letter or number can be repeated, how many license plates can be made?
What is 175,760,000?
The number of ways the letters ABCD can be arranged.
What is 24?
John bought a machine to make fresh juice. He has five different fruits: strawberries, oranges, apples, pineapples, and lemons. If he only uses two fruits, how many different juice drinks can John make?
What is combination, 10?
A restaurant offers 10 different appetizers, and you want to choose 3 appetizers for a party platter.
How many different appetizer combinations can you choose?
What is 120?
18! / 12!
What is 13,366,080?
Pennsylvania license plates have 3 letters followed by 4 digits. If the same letter cannot be repeated, how many license plates can be made?
What is 156,000,000?
How many ways can 10 runners finish a race?
What is 3,628,800?
How many different types of pizza with three toppings can we order, if we have 4 choices for the size, two choices for the thickness, and 8 choices of toppings?
What is combination and fundamental counting principle, 448 ways?
You need to choose 10 flowers for the new building out of 20 options. How many different flower combinations could you get?
What is 184,756?