Counting Principle Practice

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

If you roll a die then flip a coin, how many possible outcomes?

• 2
• 6
• 12
• 64

If you roll two dice, how many possible outcomes?

• 360
• 1
• 36
• 12

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

How many styles of sneakers are possible if Jared can choose from high-top or low-top, shoelaces or velcro, and the colors black, white, and red?

• 12
• 7
• 223
• 64

A country has a 7 digit phone number system of the form ABC-DEFG. The first digit ‘A’ can be any number except 0 or 1. The next 2 digits, ‘B’ and ‘C’, can be any digit, except they cannot repeat. The last 4 digits can be any single digit number 0-9. How many unique phone numbers are possible?

• 
  7,200,000

• 8,000,000

• 
  8,100,000

• 9,000,000

A student number system for a county requires that the student number be 5 characters.
The first 3 characters are any single digit number, but no number can repeat and the last 2 characters must be letters, but no letter can repeat. How many unique student numbers are possible?

• 1,370

• 
  131,040

• 
  250,000

• 468,000

Given a special license plate tag consists of 6 characters for a small country.
The first 3 characters must be letters and the last 3 must be a single digit number. Characters can repeat. The only restriction is that you can’t have the first 3 characters be the same (e.g. AAA, BBB, CCC, ... etc.). How many unique tags are possible?

• 
  9,250,000

• 
  11,232,000

• 15,600,000

• 17,550,000