Permutations & Combinations

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

How many ways can the coach make a batting order for 10 players?

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

Determine the number of 4-letter arrangements that can be made using the word RHOMBUS.

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?

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

Erik gets to choose from five cake flavors, seven icing flavors, and three topping flavors. How many cakes are possible if he can only choose one of each flavor?

There are 14 candy bars for sale. How many ways can Andy choose five of them?

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

How many license plates are possible with 6 characters, each filled with a number (0-9) or a letter?