A test to compare the taste of 6 iced-tea drinks is being arranged. Each participant will be given 3 of the drinks and asked to indicate which one tastes best.
a) How many different possibilities exist for the set of iced-tea drinks that a given participant will taste? (Show how you calculated your answer.)
b) If we consider the order in which the participant in part (a) tastes the 3 iced-tea drinks, how many possibilities exist? (Again, show all your work leading up to the answer.)