Fundamental Counting/Permutations/Combinations Principal

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

Tags

CCSS.HSS.CP.B.9

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

• 2
• 6
• 12
• 64

Tags

CCSS.7.SP.C.8

If you roll two dice, how many possible outcomes?

• 360
• 1
• 36
• 12

Tags

CCSS.7.SP.C.8

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

At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different one topping pizzas do you have to choose from?

• 32
• 192
• 40,320
• 51,200

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

Find the total number of outcomes for picking a day of the week and a month of the year.

• 19
• 84
• 60
• 210

Student council has 24 members.  In how many different ways can a president, vice-president, treasurer, historian, and secretary be selected?  

• 5,100,480
• 0
• 42,504
• 5.17 x 10²¹

Tags

CCSS.HSS.CP.B.9

A team of 17 volleyball players needs to choose three players to refill the water cooler.  How many different ways can the players be chosen?  

• 3360
• 560
• 4080
• 680

Tags

CCSS.HSS.CP.B.9