SOLUTION: There are cyclists in a race. There will be a first-place and a second-place prize awarded. In how many different ways can the prizes be awarded?

Question 1163129: There are cyclists in a race. There will be a first-place and a second-place prize awarded. In how many different ways can the prizes be awarded?
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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There are cyclists in a race. There will be a first-place and a second-place prize awarded.
In how many different ways can the prizes be awarded?
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Comment from student: There are 4 cyclists in a race. There will be first place and second place prize awarded.
In how many different ways can the 2 prizes be awarded?
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My response :

The answer is in 4*3 = 12 ways,

Explanation and solution

Theoretically, any of 4 cyclists can win the first prize, and any of the remaining 3 cyclists can win the second prize.

Therefore, the total number of all possible options is the product

4*3 = 12.

Solved.

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