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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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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regor60
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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
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
