Combinations, Permutations, and Counting Principles

How would you solve?

From the 20 DVD's you purchased this past year, you plan to take five with you on vacation. How many different sets of five DVD's can you take?

• Permutation

• Counting Principles

• Factorial

• Combination

Tags

CCSS.HSS.CP.B.9

How would you solve?

The model of car you are thinking of purchasing is available in nine different colors, three different styles and two sizes of motor. How many ways can you order the car?

• Permutation

• Combination

• Factorial

• Counting Principles

Tags

CCSS.HSS.CP.B.9

A disc jockey has to choose three songs for the last few minutes of his evening show. If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs?

• 84

• 504

• 362,880

• 6

Tags

CCSS.HSS.CP.B.9

Nicole has four different skirts, three different blouses and two pairs of shoes which she can wear for a business meeting. In how many ways can Nicole dress for the meeting?

• 9

• 12

• 18

• 24

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

How many ways can a stylist arrange 5 of 8 vases from left to right in a store display?

• 672
• 40
• 6720

Tags

CCSS.HSS.CP.B.9

Members of 6 different school organizations decorated floats for the homecoming parade.  How many different ways can first, second, and third prize be awarded?

• 18
• 120
• 36

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

Tags

CCSS.HSS.CP.B.9

Find the number of possibilities:
A team of 17 softball players needs to choose three players to refill the water cooler.

• 272
• 4080
• 680

Tags

CCSS.HSS.CP.B.9

Picking a President, Vice-President, and Secretary from a group of 12.

• Permutation
• Combination
• Neither

Tags

CCSS.HSS.CP.B.9

Picking a team of three people out of a group of 10.

• Permutation
• Combination
• Neither

Tags

CCSS.HSS.CP.B.9