question archive Five students from this class are running a race

Five students from this class are running a race

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Five students from this class are running a race. How many different ways are there for the 5 students to get first, second, and third place? What is the calculated value for this problem?

A. 3

B. 10

C. 15

D. 20

E. 60

 

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We can use permutation here since the arrangement of the students are important. Since there is only 3 winners, therefore,

 

# of ways = 5P3

# of ways = 60 ways

 

Note: 5P3 means that out of 5 racers, there are only 3 winners.