1. From a club of 22 people, in how many ways can a group of five members be selected to attend a conference?

2. In how many ways can a person order one ice cream cone with 3 different flavors of ice cream if there are 19 flavors to choose from and it matters to the person how the 3 flavors are stacked on the one cone? That is, which flavor is on the top, middle, and bottom.

3. A restaurant lunch special allows the customer to choose two vegetables from the following group.

peppers

kale

radishes

arugula

peas

fiddleheads

celery

How many outcomes are possible if the customer chooses two different vegetables?

4. A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a 9.