Counting Rule and Factorials

What is the value of 8!

• 40320

• 36

• 362880

• 5040

6!

• 6

• 46656

• 720

• 21

Which is a factorial?

• 3!
• 3a
• 3?
• 3*

Expand 4!

• 4+3+2+1

• 4 * 3 * 2 * 1

• 4+5+6

• 4

Tags

CCSS.7.NS.A.2C

Simplify this

• 6

• 30

• 1/5

• 1/6

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Nicole has four different skirts, three different blouses and two pairs of shoes which she can wear for a business meeting. In how many ways can Nicole dress for the meeting?

• 9

• 12

• 18

• 24

Tags

CCSS.HSS.CP.B.9

Aleks has 5 different math books, 3 different biology books and 4 different physics books. In how many different ways can Aleks select one of each book?

• 5!*3!*4! = 17280

• 12! = 479001600

• 5*3*4 = 60

• 5 + 3 + 4 = 12

Tags

CCSS.HSS.CP.B.9

CCSS.HSS.CP.B.8

At  a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

• 180
• 23
• 12
• 60

Tags

CCSS.7.EE.B.3

A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips and beverage can be ordered?

• 30
• 17
• 90
• 270

Tags

CCSS.7.EE.B.3

Harpo, Groucho, Chico, Zeppo, Gummo and Karl are running in a race. How many different orders of finish are possible?

• 36

• 64

• 720

• 46656

Tags

CCSS.HSS.CP.B.9