Permutations and Counting Principle

James purchased 3 shirts, 3 jackets and 2 pairs of pants.  How many different outfits using a shirt, a jacket, and pants are possible?

• 8
• 18
• 54

Tags

CCSS.7.EE.B.3

How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits? Think: Does order matter?

• 90
• 100
• 12
• 24

Tags

CCSS.HSS.CP.B.9

A restaurant offers four sizes of pizza, two types of crust, and eight toppings. How many possible combinations of pizza with one topping are there? 

• 64
• 14
• 24,024
• 2184

Tags

CCSS.HSS.CP.B.9

A group of 25 people are going to run a race. The top 8 finishers advance to the finals. How many combinations for the top 8 are there?

• 200

• 4.3609 x 10¹⁰

• 0

• 1,081,575

A team of 8 basketball players needs to choose a captain and co-captain. How many options are there?

• 64

• 56

• 15

• 40,320

A group of 45 people are going to run a race. The top three runners earn gold, silver, and bronze medals. How many options for medal winners are there?

• 135

• 85,140

• 14,190

• 91,125

There are 45 applicants for four Computer Programmer positions. How many options are there for the positions?

• 135

• 85,140

• 14,190

• 3575880

A lock has four dials. On each dial are the digits 0 to 9. How many possible combinations are there?

• 40
• 5040
• 6561
• 10,000

Tags

CCSS.HSS.CP.B.9

A lock has four dials. On each dial are the digits 0 to 9. How many possible combinations are there if you cannot reuse a number?

• 40
• 5040
• 6561
• 10,000

Tags

CCSS.HSS.CP.B.9

Ambry must submit 4 paintings as part of her

application to art school. If she has 25 to choose from, how many ways can she pick 4?

• 12,650

• 303,600

• 100

• 254