Unit 8 Mini Quiz (Perm, Comb, and Counting)

Carlos has 5 dogs on his dog-walking route.  In how many different ways can she walk them in order?

• 120

• 25

• 125

• 100

Maria has planned out 7 dinners for the week.  How many different ways can she arrange them in order?

• 5,040

• 49

• 5,041

• 42

Ms. Hull wants to arrange the 8 books on her shelf.  How many ways can this be done, in order from left to right?

• 40,320

• 64

• 40,500

• 39,523

Mike needs to pick up 4 meals on his Door Dash run.  How many different ways can this be done?

• 24

• 16

• 20

• 28

Javon is planning his college class schedule for next semester.  He is taking 5 classes.  How many ways can they be arranged in order?

•  120

• 25

• 100

• 125

Marcus has decided to take the 3 of his 5 classes next semester on MWF.  How many different ways can he do this?

• 10

• 15

• 20

• 25

Wes has 14 decorative figures and wants to display 9 of them of a shelf.  How many ways can this be done?

• 2,002

• 126

• 100

• 2,000

The first part of the Powerball lottery has the player picking 5 numbers from a pot with 70 balls.  If order is not important, how many combinations are there?

• 12,103,014

• 350

• 12,000,002

• 12,100,100

The front office has room to display 8 pieces of student art, but 12 pieces have been submitted.  How many combinations of 8 pieces can be displayed?

• 495

• 96

• 400

• 490

Mr. Donahue is going to select a ‘Leadership Committee’ consisting of 5 members of the class.  There are 18 students in the class.  How many different ways can this be done?

• 8,568

• 90

• 8,000

• 8,500