Permutations or combinations. a group of seven actors are competing to earn one of three roles in a tv show: michael, george, and oscar. how many unique arrangements are possible?

∠aed is formed inside a circle by two intersecting chords. if minor arc bd = 70 and minor arc ac = 180, what is the measure of ∠ aed? a) 45° b) 50° c) 55° d) 60°

Two cars which are 40 miles apart start moving simultaneously in the same direction with constant speeds. if the speed of the car which is behind is 56 mph and the speed of the other car is 48 mph, how many hours will it take for the car which is behind to catch up the car ahead of it?

Sam is picking fruit from a basket that contains many different kinds of fruit. which set of events is independent?