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Five people are running in a race. The first one to finish wins a gold medal, the second wins a silver medal and the thi

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Five people are running in a race. The first one to finish wins a gold medal, the second wins a silver medal and the thi

by VJesus12 » Sat Jan 01, 2022 12:57 pm

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Five people are running in a race. The first one to finish wins a gold medal, the second wins a silver medal and the third wins a bronze medal. How many different arrangements of medal winners, in order from first to third, are possible?

A. 5
B. 10
C. 60
D. 120
E. 125

Answer: C

Source: Princeton Review
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Re: Five people are running in a race. The first one to finish wins a gold medal, the second wins a silver medal and the

by regor60 » Fri Jan 07, 2022 9:39 am
Two of the five people won't win a medal.

How many ways to pick 2 losers out of 5?

5!/2!3! = 10. Notice that using combinations they are not being arranged.

The remaining 3 get medals and can be arranged 3! or 6 ways


Total ways for medals to be won

10*6=60,C
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