Fundamental Counting Principle, Tree Diagrams and P & C

How many different outfits can you wear if you have 3 shirts, 2 pairs of pants, and 4 pairs of shoes?

• 12

• 24

• 9

• 6

If a restaurant offers 4 types of burgers, 3 types of drinks, and 2 types of fries, how many different meal combinations can a customer order assuming they pick one of each?

• 24

• 9

• 12

• 8

Using a tree diagram, how many different three-letter codes can be created using the letters A, B, and C if letters can be repeated?

• 9

• 27

• 8

• 3

A password consists of 1 letter from A to D and 1 number from 1 to 5. Using the Fundamental Counting Principle, how many different passwords can be created?

• 20

• 9

• 10

• 4

How many different two-topping pizzas can you make if there are 5 toppings to choose from and each topping can only be used once?

• 10

• 20

• 25

• 5

If a coin is flipped three times, how many possible outcomes are there?

• 6

• 8

• 3

• 9

A locker combination uses three numbers, each ranging from 1 to 4. How many different combinations are possible if numbers can be repeated?

• 12

• 64

• 24

• 36

How many different ways can a panel of 3 judges be chosen from a group of 5 candidates?

• 10

• 60

• 15

• 20

If you have 4 books and you want to arrange them in a row on a shelf, how many different arrangements are possible?

• 24

• 12

• 16

• 4

A dice is rolled and a coin is flipped. How many possible outcomes are there?

• 6

• 12

• 3

• 2