FCP, Permutations, and Combinations

Sara plays softball. If there are 10 players on the team, how many ways can the coach make a batting order for the team?

• 90

• 252

• 1814400

• 3628800

There are 125 juniors at the high school. How many ways can they elect a president, vice president,and secretary?

• 1906500
• 317750
• 375
• 1953125

Rylan’s basketball team has 11 players. How many ways can his coach choose five starting players?

• 462
• 55440
• 55
• 1000

Ashley needs to bring a dessert try to Sara's party. The bakery has eight pies for her to choose from, how many ways can she pick three pies to take to Sara's party?

• 56

• 112

• 336

• 672

Erik gets to choose from five cake flavors, seven icing flavors, and three topping flavors. If he is limited to one of each flavor, how many cakes are possible?

• 15

• 36

• 105

• 455

There are 12 kinds of Girl Scout cookies for sale. How many ways can Robin choose three different kinds to buy?

• 220

• 440

• 660

• 1320

A license plate has 6 characters, each filled with a digit (0 - 9) or a letter, repetition is allowed, how many license plates are possible?

• 1,000,000

• 2,600,000

• 308,915,776

• 2,176,782,336

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

• 16

• 48

• 108

• 324

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
• MPC