You have 2 distinguishable balls and 3 distinguishable bins. How many total arrangements are there?

I have 4 distinguishable balls and 2 distinguishable bins. Every ball must go in one bin. How many arrangements are possible?

You place 3 labeled stickers on 2 labeled folders. Every sticker must go on a folder. How many ways are there?

I have 2 distinguishable balls and 4 distinguishable bins. Each ball may or may not be placed in a bin. How many possible assignments are there?

6 students run a race. In how many ways can the gold, silver, and bronze medals be awarded?

A student selects 3 videos to watch from a list of 7. Each has to be scheduled on a different day. How many ways are there for the student to select videos?

You have 3 distinguishable marbles and 3 distinguishable jars. Some marbles may be left out. How many total arrangements are possible?

4 different tasks can be assigned to 3 different days or not done at all. How many total assignments are there?

3 kids are each drawing a picture. Each child can hang theirs on 1 of 4 bulletin boards or not hang it. How many options are there for displaying the drawings?

10 runners enter a race. How many different ways can the top 2 finishers be chosen?