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Although rare, tied swimming races occur with some frequency. In fact, at the 2016 Olympics...

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Although rare, tied swimming races occur with some frequency. In fact, at the 2016 Olympics there was a three-way tie for second position in the men's 100 m butterfly event.Find the number of different ways four swimmers can finish a race if(a) there are no ties(b) we include the possibility of ties.

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Although rare, tied swimming races occur with some frequency. In fact, at the 2016 Olympics there was a three-way tie for second position in the men's 100 m butterfly event.Find the number of different ways four swimmers can finish a race if(a) there are no ties(b) we include the possibility of ties.

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