Mohammed is being treated to ice cream for his birthday, and he's allowed to build a three-scoop sundae from any of the thirty-one available flavors, with the only condition being that each of these flavors be unique. He's also allowed to pick different toppings of the available , although he's already decided well in advance that one of them is going to be peanut butter cup pieces.

Knowing these details, how many sundae combinations are available?

How many ways can a coach choose players to play on the field out of a bench of players?

Find .

A coach of a baseball team needs to choose players out of a total players in the team. How many ways can the coach choose 9 players?

Find .

Quantity A: The number of possible combinations if four unique choices are made from ten possible options.

Quantity B: The number of possible permutations if two unique choices are made from ten possible options.

Rachel is buying ice cream for a sundae. If there are twelve ice cream choices, how many scoops will give the maximum possible number of unique sundaes?

If there are students in a class and people are randomly choosen to become class representatives, how many different ways can the representatives be chosen?

Six points are located on a circle. How many line segments can be drawn?

How many ways can I get non-repetitive three-digit numbers from the numbers: ?