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Suppose a crew of 43 people are used to ...

Suppose a crew of 43 people are used to steer a ship. There are 3 among them who can steer and we need only 1 person to steer. Out of the remaining 40 people. 8 can row only on one side and 3 people can only row on the other side. How many ways can the crew be arranged in so that there are 20 rowers on each side of the ship?

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`.^(3)C_(1).^(29)C_(12).^(17)C_(17).20!.20!`
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