Answer :
Starting Times (Waves):
- Wave 1
- Wave 2
- Wave 3
Starting Areas (Corrals):
- Wave 1 Corral A
- Wave 1 Corral B
- Wave 1 Corral C
- Wave 1 Corral D
- Wave 1 Corral E
- Wave 2 Corral A
- Wave 2 Corral B
- Wave 2 Corral C
- Wave 2 Corral D
- Wave 2 Corral E
- Wave 3 Corral A
- Wave 3 Corral B
- Wave 3 Corral C
- Wave 3 Corral D
- Wave 3 Corral E
Possible Combinations:
- Wave 1 Corral A
- Wave 1 Corral B
- Wave 1 Corral C
- Wave 1 Corral D
- Wave 1 Corral E
- Wave 2 Corral A
- Wave 2 Corral B
- Wave 2 Corral C
- Wave 2 Corral D
- Wave 2 Corral E
- Wave 3 Corral A
- Wave 3 Corral B
- Wave 3 Corral C
- Wave 3 Corral D
- Wave 3 Corral E
To create a tree diagram for the waves and corrals, follow these steps:
1. Begin by drawing three branches representing the three scattered starting times or "waves" - label them Wave 1, Wave 2, and Wave 3.
2. From the end of each wave branch, draw five branches representing the "corrals" within each wave.
3. Label the corrals under Wave 1 as Corral 1A, Corral 1B, Corral 1C, Corral 1D, and Corral 1E.
4. Label the corrals under Wave 2 as Corral 2A, Corral 2B, Corral 2C, Corral 2D, and Corral 2E.
5. Label the corrals under Wave 3 as Corral 3A, Corral 3B, Corral 3C, Corral 3D, and Corral 3E.
Now, you have a tree diagram that shows the possible waves and corrals runners could be assigned to in the marathon.
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Final answer:
A tree diagram representing three starting 'waves' branching to five 'corrals' each, would result in 15 possible outcomes. Each 'wave' would account for five possible 'corrals'.
Explanation:
In order to illustrate the possible ways the waves and corrals can be assigned, we will first denote them. Let's call the waves A, B, and C and the corrals as 1, 2, 3, 4, and 5.
From wave A, we can go to any of the five corrals (1, 2, 3, 4, or 5). The same goes for waves B and C. Therefore, our tree diagram would branch off three times at the start for waves A, B, and C. Each of these waves would then branch off five more times for the corrals.
To help visualize it, imagine a tree with three main branches. Each of those main branches then breaks off into five smaller branches.
This means that there are a total of 15 possible outcomes for ways the waves and corrals could be assigned (3 waves * 5 corrals).
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