In: Statistics and Probability
A 4 member relay team (including the order in which they will swim) is to be randomly selected from the 9 members of a men's swimming club.
a) How many different teams are possible?
b) Find the probability that the best swimmer is left off the randomly selected relay team.
c) Find the probability that the best swimmer is picked for the team, and asked to swim the fourth lap of the relay.
d) Find the probability that the top two swimmers in the club wind up swimming the third and fourth laps of the race, in either order;
i.e., the best could be either the third or fourth into the poo