Fifty people purchase raffle tickets. Three winning tickets are selected at random. If each prize is $500, in how many different ways can the prizes be awarded?Does the problem involve permutations or combinations? Explain your answer.

A doctor visits her patients during morning rounds. In how many ways can the doctor visit 8 patients during the morning rounds?

At the World Goldendoodle Championship, 16 doodles compete to see who is the fluffiest.  The top five contests receive prizes and cash: 1st = $300,000 2nd = $100,000 3rd = $50,000 4th = $25,000 5th = $10,000 Obviously, being first is better than being fifth.  How many ways can the 16 doodles make the top five?

A bag contains 14 pieces of candy. In how many ways can five pieces be selected?

The party store sell balloons in 9 different colors. In how many ways can you make a selection of 15 balloons?

A grab bag contains 12 packages worth $.80 each, 15 packages worth $.40, and 25 packages worth $.30. Would it be worth playing if you had to pay $.50 to choose a package? (Not handwritten)

The cost of 5 items at a grocery store if the items cost $7.49, $4.12,$15.94,$2.11 and $21.09

How many different ways can you pack five t-shirts for your trip if you have twelve clean shirts that you like from which to choose? Is the answer 11,880?