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a. If he chooses randomly, how many ways can Akio form his starting lineup?

b. How many of those teams have Sidney playing in the libero position?

c. If Akio chooses starting teams randomly, what is the probability (in percent) that Sidney gets chosen as the starting libero?

d. If Akio just randomly chooses six players to start, without regard to who plays which position, what is the probability that Sidney gets chosen?