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Adrienne, Heather, Katie, Sara and Kara ran a race. At the end of the race, two of the friends finished in a tie while the rest all finished in different times. In how many possible orders could the girls have finished the race?

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Answered by oobleck
Consider the two who tied as a single person. Then there would be 4! ways to finish. But there are 5C2=10 ways to pick the two girls, so there are

4!*10 = 240 ways to finish.
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