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  • A race consists of 10 participants, including 4 runners from Country A and 6 runners from Country B. In how many different ways can the top 3 finishers be from Country B?

A race consists of 10 participants, including 4 runners from Country A and 6 runners from Country B. In how many different ways can the top 3 finishers be from Country B?

 

Option: 1

25


Option: 2

30


Option: 3

20


Option: 4

10


Answers (1)

best_answer

To calculate the number of different ways the top 3 finishers can be from Country B in a race with 10 participants, including 4 runners from Country A and 6 runners from Country B, we can consider the following:

Since the top 3 finishers must be from Country B, we need to select 3 runners from the 6 runners in Country B.

The number of ways to select 3 runners from 6 is given by \mathrm{C(6,3)=20.}

Therefore, there are 20 different ways the top 3 finishers can be from Country B in the race.

Posted by

Rakesh

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