Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
Using the combination formula, it is found that there are 47,040 ways to form a soccer team.
What is the combination formula?
Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.
[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!}[/tex]
A soccer team consisting of 3 forwards, 4 midfield players, and 3 defensive players, if the players are chosen from 8 forwards, 6 midfield players and 8 defensive players
Since they are independent of each other, the total number of combinations will be;
[tex]^mC_k = \dfrac{8!}{3! \times (5)!} \times \dfrac{6!}{4! \times (2)!} \times \dfrac{8!}{3! \times (5)!} \\\\^mC_k =47,040[/tex]
Hence, There are 47,040 ways to form a soccer team.
More can be learned about the combination at brainly.com/question/25821700
#SPJ1
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.
