FCP, Permutations and Combinations

Robin has five different pairs of shoes that match with 6 different pairs of socks.  How many shoes-and-socks combinations can she make if she selects one pair of shoes and one pair of socks?

• 1
• 30
• 5!
• 6!

How would you solve?

A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a collection?

• Permutation

• Combination

• Factorial

• Fundamental Counting Principle (FCP)

How would you solve?

From the 20 DVD's you purchased this past year, you plan to take five with you on vacation. How many different sets of five DVD's can you take?

• Permutation

• Combination

• Factorial

• Fundamental Counting Principle (FCP)

How would you solve?

The model of car you are thinking of purchasing is available in nine different colors, three different styles and two sizes of motor. How many ways can you order the car?

• Permutation

• Combination

• Factorial

• Fundamental Counting Principle (FCP)

How would you solve?

How many ways can you line up your eight trophies that you've won over the years on a shelf in your room?

• Permutation

• Combination

• Factorial

• Fundamental Counting Principle (FCP)

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!

Ashlyn needs to bring a dessert to her dinner party. If the bakery has eight pies to choose from, how many ways can Ashlyn choose three?

• 336

• 56

• 24

• 100

A restaurant offers four appetizers, nine entrees,and three desserts. How many different ways can Angela choose a three course meal?

• 36
• 100
• 108
• 27

If Lucas owns 11 hoodies,how many ways can he choose four to bring on vacation?

• 44

• 7920

• 330

• 121

Permutation, combination, or neither?
The batting order for seven players on a 12 person team.

• combination
• permutation
• neither