Permutations and Combinations

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

Homecoming has 7 candidates for King. How many ways can a King and a First Runner-up be chosen to form the Festival Court?

• 23
• 840
• 42
• 3,628,800

Tags

CCSS.HSS.CP.B.9

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

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

₇P₂

• 0
• 7
• 42
• 210

₂₀P₂

• 20
• 380
• 6840
• 116280

₂₅C₁

• 25
• 50
• 300
• 230

Tags

CCSS.HSF.IF.A.2

How many Outcomes?
Choosing from 3 sizes of bottled water and from distilled, filtered, or spring water.

• 6
• 9
• 2
• 12