High School

We appreciate your visit to At a competition with 6 runners 2 medals are awarded for first and second place with each medal being different How many ways are there. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

At a competition with 6 runners, 2 medals are awarded for first and second place, with each medal being different. How many ways are there to award the medals?

A. 30
B. 36
C. 15
D. 720

Answer :

Final answer:

The number of ways the medals can be awarded to the runners in the competition is 30, by using the concept of permutations.

Explanation:

The total ways to award the medals in this context can be determined using a concept in mathematics known as permutations. In this case, we are selecting 2 positions (first and second) out of 6 options (the runners). The formula for permutations is nPr = n! / (n-r)!, where n is the total number of options, r is the number of options selected and '!' denotes a factorial. Hence, the number of ways the medals can be awarded is 6P2 = 6! / (6-2)! = 6*5 = 30.

Learn more about Permutations here:

https://brainly.com/question/23283166

#SPJ11

Thanks for taking the time to read At a competition with 6 runners 2 medals are awarded for first and second place with each medal being different How many ways are there. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada