10-5 Permutations

How many total outfit options are represented?

• 12
• 22
• 3

Tags

CCSS.3.OA.A.3

The cafeteria is serving three kinds of sandwiches:  tuna (T), chicken, (C), and peanut butter (P).  They are also serving a choice of two drinks:  milk (M) or water (W).  Which shows the complete set of possible combinations?

• TW, CW, PW
• TW, TM, TC, CW, PW
• TW, TM, CW, CM, PW, PM
• TCP, MW

Tags

CCSS.3.OA.A.1

CCSS.3.OA.A.3

Which of the following situations is represented by this tree diagram?

• 3 shirt options, 6 pants options, and 12 shoe options
• 3 shirt options, 2 pants options, and 2 shoe options
• 2 shirt options, 3 pants options, and 1 shoe option

Tags

CCSS.3.OA.A.3

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

Tags

CCSS.7.EE.B.3

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 pizzas do you have to choose from?

• 32
• 192
• 40,320
• 51,200

Tags

CCSS.7.EE.B.3

Harpo, Groucho, Chico, Zeppo, Gummo and Karl are running in a race. How many different orders of finish are possible?

• 36

• 64

• 720

• 46656

Tags

CCSS.HSS.CP.B.9

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

• 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 different combinations of medalists are there?

• 135

• 85,140

• 14,190

• 91,125

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

Evaluate 6!

• 6

• 46656

• 720

• 21