Counting Techniques

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 a stylist arrange 5 of 8 vases from left to right in a store display?

• 672
• 40
• 6720

How many identification code are possible by using 3 letters if no letter may be repeated?

• 15, 600
• 75
• 78

There are 5 airplanes ready to depart.  Runway A and runway D are available.  How many ways can 2 planes be assigned to runways without using the same runway?

• 7
• 20
• 25

What is the value of 5!

• 25
• 15
• 120
• 720

What is the value of 8!

• 40320
• 36
• 362880
• 5040

What is the value of ₅P₂?

• 60
• 10
• 20
• 15

What does ₁₀P₅ mean?

• Permutations with 5 choices and 10 positions
• Permutations with 10 choices and 5 positions
• Permutations with 5 numbers and 10 operations
• Permutations with 5 hot dogs and 10 drinks

What does the P stand for in _nP_r?

• Partners
• Positions
• Papers
• Permutations

5 out of 13 students ride in a car instead of a van.

• 154,440
• 1,287
• 1716