Assume high school coach Emily Williams has seven possible swimmers for a four-person relay team.
a. If the order for the freestyle relay is unimportant, how many different relay teams are possible?
b. Assume for the medley relay team that order is important; how many different teams are possible?
c. Swimmer Michael P. is one of the seven swimmers. If the assignment of swimmers is random, how many of the teams in part a will include Michael P.? How many of the teams in part b will include Michael P.?