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  • In a race, there are 8 participants. In how many ways can the gold, silver, and bronze medals be awarded if ties are allowed, and any number of participants can receive e

In a race, there are 8 participants. In how many ways can the gold, silver, and bronze medals be awarded if ties are allowed, and any number of participants can receive each medal?

 

Option: 1

512 ways


Option: 2

1,024 ways


Option: 3

4,096 ways


Option: 4

6,561 ways


Answers (1)

best_answer

To solve this, we can consider that each participant has three choices: they can receive the gold medal, the silver medal, or the bronze medal. Since ties are allowed, any number of participants can receive each medal.

For each participant, there are 3 choices, and since there are 8 participants, we multiply 3 by itself 8 times: 3^8=6561 .

 

 

Posted by

Kuldeep Maurya

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