Ilovechickenburgerslidn
Answered

IDNLearn.com is your go-to resource for finding precise and accurate answers. Join our Q&A platform to access reliable and detailed answers from experts in various fields.

Determine whether each situation involves a permutation or a combination. Then determine the number of possible arrangements.

6. Six students in a class meet in a room that has nine chairs.

7. The top four finishers in a race with ten participants.

8. A class has 15 girls and 19 boys. A committee is formed with two girls and two boys, each with a separate responsibility.

Sagot :

GinnyAnsweridn

Final answer:

The response explains the concepts of permutation and combination in three different scenarios involving students and committees.


Explanation:

Permutation vs. Combination:

  1. Six students in a class meet in a room with nine chairs is a permutation as the order matters. The number of arrangements is 9P6.
  2. The top four finishers in a race with ten participants is a permutation as the order of finish matters. The number of arrangements is 10P4.
  3. A committee with two girls and two boys from a class of 15 girls and 19 boys is a combination as the order doesn't matter. The number of arrangements is 15C2 * 19C2.

Learn more about Permutation vs. Combination here:

https://brainly.com/question/34452834


Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Thank you for visiting IDNLearn.com. We’re here to provide accurate and reliable answers, so visit us again soon.