Permutations and Counting Principle

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

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

• Permutation
• Combination

What is the value of 5!

• 25
• 15
• 120
• 720

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

• 15
• 4
• 24

What does the P stand for in _nP_r?

• Partners
• Positions
• Papers
• Permutations

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

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