Permutations and Combinations

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

• 3
• 9
• 6
• 12

Tags

CCSS.HSS.CP.B.9

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

• 30
• 140
• 320
• 45

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

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

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

• Permutation
• Combination

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

• Permutation
• Combination

Tags

CCSS.HSS.CP.B.9

How many ways can a president, vice president, and treasurer be elected from a group of 40 students?

• 120
• 59,280
• 9,880
• 2,354

₇P₂

• 0
• 7
• 42
• 210

Tags

CCSS.HSS.CP.B.9

₂₀P₂

• 20
• 380
• 6840
• 116280

Tags

CCSS.HSS.CP.B.9

Sarah plays softball over the summer.  If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?

• 1
• 3628800
• 100
• 1814400

Tags

CCSS.HSS.CP.B.9