Combinations and Permutations Practice

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

• 12
• 60
• 15

How many ways can you listen to 3 songs from a CD that has 12 selections?

• 1320
• 33
• 36

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

How many ways ways can you arrange the letters in the word math?

• 15
• 4
• 24

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

Rylan’s basketball team has 11 players. How many ways can his coach choose five starting players?

• 462
• 55440
• 55
• 1000

Determine the number of 4-letter arrangements that can be made using the word RHOMBUS.

• 5040
• 35
• 28
• 840

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, assuming that she can choose the same flavors if she wants to?

• 336

• 56

• 24

• 120

There are 14 candy bars for sale. How many ways can Andy choose five of them?

• 240240
• 2002
• 87178291200
• 70

Erik gets to choose from five cake flavors, seven icing flavors, and three topping flavors. If he can only choose one of each flavor,  how many cakes are possible?

• 35

• 315

• 21

• 105