Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • In a race, there are 8 participants. In how many ways can the gold, silver, and bronze medals be awarded if the top three finishers will represent their country in an int

In a race, there are 8 participants. In how many ways can the gold, silver, and bronze medals be awarded if the top three finishers will represent their country in an international competition, and nationality matters in the medal distribution?

 

Option: 1

336 ways


Option: 2

240 ways


Option: 3

120 ways


Option: 4

40320 ways


Answers (1)

best_answer

To solve this, we need to consider the different possible combinations of nationalities for the top three finishers.

For the gold medal, there are 8 participants from different countries who can win it.

Once the gold medalist is determined, there are 7 remaining participants from different countries who can win the silver medal.

After the silver medalist is determined, there are 6 remaining participants from different countries who can win the bronze medal.

To find the total number of ways, we multiply the number of choices for each medal: 8 choices for the gold medal × 7 choices for the silver medal × 6 choices for the bronze medal = 336 ways.

 

Posted by

Ritika Jonwal

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Latest Question