Counting Rules and Probability

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

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

• Permutation
• Combination

What is the value of 5!

• 25
• 15
• 120
• 720

9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

• 45
• 362,880
• 90

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

Determine whether the following scenarios are a permutation or a combination:
 
Selecting a lead and an understudy for a school play.

• Combination
• Permutation

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

• Permutation
• Combination
• Neither

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

• 3
• 9
• 6
• 12