Probability

In the orchestra, there are eight violinists in the front row. How many different ways can they be seated?

Mathematical Equivalence

ON

The ski club with ten members is to choose three officers for captain, co-captain and secretary.  How many ways can those offices be filled?

• 720
• 120
• 10!

Decide whether you'd solve using a Permutation, Combination, or Fundamental Counting Principle, then match the cards accordingly.

• A swim competition of 15 students will award 1st, 2nd, and 3rd place medals.

• Fundamental Counting Principle

• The principal would like to assemble a committee of 8 students from the 12-member student council.

• Permutation

• You can choose from three appetizers, four entrees, and two desserts at a buffet.

• Combination

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

• 81
• 18
• 72

Find the number of possibilities:
A team of 17 softball players needs to choose three players to refill the water cooler.

• 272
• 4080
• 680

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

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

5!

• 25

• 15

• 120

• 720

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

• Permutation
• Combination