FCP and Permutations Review

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

• 12
• 60
• 15

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

What is the value of 5!

• 25
• 15
• 120
• 720

₇P₂

• 0
• 7
• 42
• 210

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

A disc jockey has to choose three songs for the last few minutes of his evening show.  If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs?

• 84
• 504
• 9!
• 3!

There are 125 juniors at the high school. How many ways can they elect a president, vice president,and secretary?

• 1906500
• 317750
• 375
• 1953125

There are 18 people running in a cross country race. How many possible ways are there to place the runners in first, second, and third?

• 324
• 4896
• 816
• 54

 $_6P_0$  

• 1

• 6

• 720

• 0

How many ways can you choose a manager and assistant from a 9-person task force?

• 81
• 18
• 72