Permutations and Combinations

In how many ways can 3 different vases be arranged on a tray?
 

• 3
• 9
• 6
• 12

How many ways can you arrange 2 letters from the word
S Q U A R E?

• 30
• 140
• 320
• 45

Tags

CCSS.HSS.CP.B.9

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15
• 40
• 80
• 10

Tags

CCSS.HSS.CP.B.9

How many 5-digit (numerical) passwords are possible for the school email system if the first digit cannot be 0?

• 11,424,400
• 10,967,424
• 9000
• 90,000

Tags

CCSS.HSS.CP.B.9

There are 6 roads from Rosedale to Sale, 2 roads from Sale to Maffra, and 3 roads from Maffra to Heyfield.  How many possible routes are there from Rosedale  to Heyfield using only these roads and no backtracking? 

• 12
• 11
• 18
• 36

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

Find the possibilities when a group of 15 people are going to run a race.  The top 5 finishers advance to the finals.

• 1.3 x 10¹²
• 120
• 3003
• 360,360

Tags

CCSS.HSS.CP.B.9

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

• Permutation
• Combination
• Neither

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

• Permutation
• Combination
• Neither

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