Counting principle, factorials, permutations, and combinatio

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

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CCSS.HSS.CP.B.9

7!

• 120
• 720
• 5040
• 40320

A family of 3 plans to sit in the same row at a movie theater. How many ways can the family be seated in 3 seats?

• 3

• 6

• 1

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CCSS.HSS.CP.B.9

Benedic wants to order a sandwich with two of the following ingredients: mushroom, eggplant, tomato, and avocado. How many different sandwiches can Benedic choose?

• 8

• 6

• 4

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CCSS.HSS.CP.B.9

A group of 8 swimmers are swimming in a race. Prizes are given for first, second, and third place. How many different outcomes can there be?

• 336

• 56

• 24

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CCSS.HSS.CP.B.9

How many different ways can 9 people line up for a picture?

• 362 880

• 40 320

• 387 420 489

Four students need to be selected from a class

of 15 to help clean up the campus. How many different ways can the 4 students be chosen?

• 32 760

• 60

• 1 365

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CCSS.HSS.CP.B.9

A basketball team has 12 members who can play any position. How many different ways can the coach choose 5 starting players?

• 95 040

• 792

• 60

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CCSS.HSS.CP.B.9

Nine students in a Mathematics contest are competing for first, second and third prize. How many ways can the 3 students be chosen?

• 27

• 84

• 504

You are ordering a triple-scoop ice-cream cone. There are 18 flavours to choose from and you don’t care which flavor is on the top, middle, or bottom. How many different ways can you select a triple-scoop ice-cream cone?

• 54

• 816

• 4896

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CCSS.HSS.CP.B.9