Permutations and Combinations

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

• 672

• 40

• 6720

• 3

Nate is on a 7-day vacation. He plans to spend one day jet skiing and one day golfing. How many ways can Nate schedule these 2 activities?

• 13

• 42

• 14

• 5

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

• 18

How many ways can you arrange 2 letters from the word

S Q U A R E?

• 30

• 140

• 320

• 45

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

• Permutation
• Combination
• Neither

Choosing 3 toppings for your sundae out of a list of 15.

• Permutation
• Combination
• Neither

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

Ashlyn needs to bring a dessert to her dinner party. If the bakery has eight pies to choose from, how many ways can Ashlyn choose three?

• 336
• 56
• 24
• 100

Tags

CCSS.HSS.CP.B.9

Rob is one of seven children in his family. How many ways can his parents choose four siblings to do chores?

• 35
• 28
• 840
• 10

Tags

CCSS.HSS.CP.B.9

Find the number of possibilities:
There are 110 people at a meeting.  they each shake hands with everyone else.  How many handshakes were there?

• 1,294,920
• 5995
• 11, 990