1. Suppose that two runners from team A and three runners from team B participate in a race. Further assume that all five runners have equal ability and there are no ties. Answer the following questions: (a) How many ways can two runners from team A will finish 1st and 2nd and three runners from team B will finish 3rd, 4th, and 5th? (b) How many ways can five players finish the race? (c) What is the probability that two runners from team A will finish first and second, and that the three runners from team B will finish third, fourth, and fifth?

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