Counting Rules Quiz

An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream.  A customer gets to choose a cone and a type of ice cream.  How many different 1-scoop ice cream cones can a customer order? 

• 34
• 2
• 3
• 93

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

• 15
• 40
• 80
• 10

A particular model at a New Car Dealership 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

Yummy-Yum has prepared cupcakes with five different toppings: sprinkles, coconut, chocolate chip, oreo crumbles, and M&M’s. In how many ways can they arrange three of the cupcakes in a display case?

• 60

• 125

• 15

• 12

Rylan’s basketball team has 11 players. How many ways can his coach choose five starting players?

• 462
• 55440
• 55
• 1000

An election ballot asks voters to select three city commissioners from a group of six candidates.  In how many ways can this be done?

• 6!
• 120
• 20
• 3!

Brianna’s school day consists of six classes. How many different ways can her schedule be arranged?

• 720
• 36
• 100
• 500

A team of 8 basketball players needs to choose a captain and co-captain.

• 64
• 56
• 15
• 40,320

A swim coach randomly selects 3 swimmers from his group of 10 people

What is the formula of Permutation?