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There are 10 pirates fighting on the Grand Line. These include some older pirates(Whitebeard, Shanks, Roger, Mihawk) and some younger pirates(Luffy, Nami, Usopp, Chopper, Zoro,
There are 10 pirates fighting on the Grand Line. These include some older pirates(Whitebeard, Shanks, Roger, Mihawk) and some younger pirates(Luffy, Nami, Usopp, Chopper, Zoro, Sanji). The members group into a 4-person team (heading to Skypeia) and a 6-person team (staying at Raftel) to fight blackbeard. A) How many ways are there to form these teams?(Order within a team doesn't matter.) B) After the teams are set, the pirates on the 4-person team enter Skypeia one at a time via a knockup stream. How many possibilities are there for the order in which they go up the stream? C) Assuming each configuration in (a) is equally likely, what is the probability that Chopper and Sanji are both on the 6-person team? D) What is the conditional probability that Chopper and Sanji are both on the same team, given that Usopp is on the other team? (Think carefully about this one.)
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