Fifteen people showed up to the Math Lab on Monday night. I want to give prizes to three of those students. a. How many ways can I choose three people to receive an A on their final? b. How many ways can three people be picked where the first person gets an A on the final, the second person gets 10 extra credit points and the third gets a free calculator? c. How many ways can three people be chosen so that the first two people get an A on the final and the third gets extra credit.