15.How many ways can 3 student athletic awards be given if there are 15 athletes and

a) no athlete can receive more than one award? b) there is no limit on how many awards an athlete can win?

16.Lisa is planning the seating for the head table at a gala. The eight speakers will all be seated along one side of the table. How many ways can this be done if: a) Michael really wants to sit beside Dave. b) Thomas and Lily should not be seated together, and Michael and Dave sit together (part a)?