Finite Permutations

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

What does the P stand for in _nP_r?

• Partners
• Positions
• Papers
• Permutations

7 * 6 * 5 * 4 * 3 * 2 * 1

• 42
• 28
• 5,040

₇P₂

• 0
• 7
• 42
• 210

 $_6P_0$  

• 1

• 6

• 720

• 0

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

• 3,628,800

• 100

• 1,814,400

Brianna’s school day consists of six classes. How many different ways can her schedule be arranged?

• 720
• 36
• 100
• 500

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

• 4,896

• 816

• 54