Unit 4: Counting and Probability

At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?

• 32
• 192
• 40,320
• 51,200

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15
• 40
• 80
• 10

The cafeteria has 2 choices of salads, 3 choices of entrees, and 2 choices of beverages. How many meal combinations are available and why?

• 7 because 2 + 3 + 2
• 12 because 2 x 3 x 2

Tags

CCSS.HSA.SSE.A.1

CCSS.HSS.CP.B.9

There is one each of the following colors of jelly-beans in a hat: pink, blue, yellow, red, and black. What is the probability that you select a blue, return the marble and select a pink?

• 1/25
• 2/25
• 1/5
• 1/20

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a brown candy?

• 2/18
• 1/9
• 2/20
• 1/10

Which of the following situations is represented by this tree diagram?

• 3 shirt options, 6 pants options, and 12 shoe options
• 3 shirt options, 2 pants options, and 2 shoe options
• 2 shirt options, 3 pants options, and 1 shoe option

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.9

How many total outfit options are represented?

• 12
• 22
• 3

Tags

CCSS.HSS.CP.B.9

How many ways can the letters in the word PARALLEL be arranged?

• 40,320
• 1
• 3360
• 64

Tags

CCSS.HSS.CP.B.9

What is the value of ₅P₂?

• 60
• 10
• 20
• 15

Tags

CCSS.HSS.CP.B.9

What is the formula for permutations?

• n!
• ^n!∕_(n-r)!
• ^n!∕_(n-r)! r!
• ^r!∕_{(r-n)! n!}