Questions: A pharmaceutical salesperson wants to schedule appointments with three doctors to introduce a new line of antibiotics. Use a tree diagram to determine all possible schedules that would allow the salesperson to meet with each doctor. List those schedules. Select all possible schedules that would allow the salesperson to meet with each doctor. A. Dr. Cook Wed. at 11:00, Dr. Clark Mon. at 9:00, Dr. Baker Wed. at 11:00 B. Dr. Cook Tue. at 11:00, Dr. Clark Mon. at 9:00, Dr. Baker Tue. at 11:00 C. Dr. Cook Tue. at 11:00, Dr. Clark Mon. at 10:00, Dr. Baker Wed. at 11:00 D. Dr. Cook Wed. at 11:00, Dr. Clark Mon. at 10:00, Dr. Baker Wed. at 11:00 E. Dr. Cook Mon. at 10:00, Dr. Clark Mon. at 10:00, Dr. Baker Mon. at 10:00 F. Dr. Cook Wed. at 11:00, Dr. Clark Mon. at 10:00, Dr. Baker Mon. at 10:00 G. Dr. Cook Wed. at 11:00, Dr. Clark Mon. at 9:00, Dr. Baker Tue. at 11:00 H. Dr. Cook Mon. at 10:00, Dr. Clark Mon. at 9:00, Dr. Baker Wed. at 11:00 I. Dr. Cook Tue. at 11:00, Dr. Clark Mon. at 10:00, Dr. Baker Tue. at 11:00 J. Dr. Cook Wed. at 11:00, Dr. Clark Mon. at 9:00, Dr. Baker Mon. at 10:00 K. Dr. Cook Wed. at 11:00, Dr. Clark Mon. at 10:00, Dr. Baker Tue. at 11:00

A pharmaceutical salesperson wants to schedule appointments with three doctors to introduce a new line of antibiotics. Use a tree diagram to determine all possible schedules that would allow the salesperson to meet with each doctor. List those schedules. Select all possible schedules that would allow the salesperson to meet with each doctor. A. Dr. Cook Wed. at 11:00, Dr. Clark Mon. at 9:00, Dr. Baker Wed. at 11:00 B. Dr. Cook Tue. at 11:00, Dr. Clark Mon. at 9:00, Dr. Baker Tue. at 11:00 C. Dr. Cook Tue. at 11:00, Dr. Clark Mon. at 10:00, Dr. Baker Wed. at 11:00 D. Dr. Cook Wed. at 11:00, Dr. Clark Mon. at 10:00, Dr. Baker Wed. at 11:00 E. Dr. Cook Mon. at 10:00, Dr. Clark Mon. at 10:00, Dr. Baker Mon. at 10:00 F. Dr. Cook Wed. at 11:00, Dr. Clark Mon. at 10:00, Dr. Baker Mon. at 10:00 G. Dr. Cook Wed. at 11:00, Dr. Clark Mon. at 9:00, Dr. Baker Tue. at 11:00 H. Dr. Cook Mon. at 10:00, Dr. Clark Mon. at 9:00, Dr. Baker Wed. at 11:00 I. Dr. Cook Tue. at 11:00, Dr. Clark Mon. at 10:00, Dr. Baker Tue. at 11:00 J. Dr. Cook Wed. at 11:00, Dr. Clark Mon. at 9:00, Dr. Baker Mon. at 10:00 K. Dr. Cook Wed. at 11:00, Dr. Clark Mon. at 10:00, Dr. Baker Tue. at 11:00
Transcript text: A pharmaceutical salesperson wants to schedule appointments with three doctors to introduce a new line of antibiotics. Use a tree diagram to determine all possible schedules that would allow the salesperson to meet with each doctor. List those schedules. Select all possible schedules that would allow the salesperson to meet with each doctor. A. Dr. Cook Wed. at 11:00, Dr. Clark Mon. at 9:00, Dr. Baker Wed. at 11:00 B. Dr. Cook Tue. at 11:00, Dr. Clark Mon. at 9:00, Dr. Baker Tue. at 11:00 C. Dr. Cook Tue. at 11:00, Dr. Clark Mon. at 10:00, Dr. Baker Wed. at 11:00 D. Dr. Cook Wed. at 11:00, Dr. Clark Mon. at 10:00, Dr. Baker Wed. at 11:00 E. Dr. Cook Mon. at 10:00, Dr. Clark Mon. at 10:00, Dr. Baker Mon. at 10:00 F. Dr. Cook Wed. at 11:00, Dr. Clark Mon. at 10:00, Dr. Baker Mon. at 10:00 G. Dr. Cook Wed. at 11:00, Dr. Clark Mon. at 9:00, Dr. Baker Tue. at 11:00 H. Dr. Cook Mon. at 10:00, Dr. Clark Mon. at 9:00, Dr. Baker Wed. at 11:00 I. Dr. Cook Tue. at 11:00, Dr. Clark Mon. at 10:00, Dr. Baker Tue. at 11:00 J. Dr. Cook Wed. at 11:00, Dr. Clark Mon. at 9:00, Dr. Baker Mon. at 10:00 K. Dr. Cook Wed. at 11:00, Dr. Clark Mon. at 10:00, Dr. Baker Tue. at 11:00
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Solution

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Solution Steps

To determine all possible schedules that allow the salesperson to meet with each doctor, we need to ensure that each doctor is scheduled at a unique time. We will filter out the schedules where any two doctors have overlapping times.

Step 1: Identify Possible Schedules

We have a list of potential schedules for the salesperson to meet with three doctors. Each schedule consists of three appointments, one for each doctor.

Step 2: Check for Unique Appointment Times

To ensure that the salesperson can meet with each doctor without any time conflicts, we need to filter the schedules to find those where all appointment times are unique.

Step 3: Valid Schedules

After filtering, the valid schedules that allow the salesperson to meet with each doctor at unique times are:

  1. \( \text{Dr. Cook Mon. at 10:00}, \text{Dr. Clark Mon. at 9:00}, \text{Dr. Baker Wed. at 11:00} \)
  2. \( \text{Dr. Cook Wed. at 11:00}, \text{Dr. Clark Mon. at 9:00}, \text{Dr. Baker Mon. at 10:00} \)

Final Answer

The valid schedules are:

  1. \( \text{Dr. Cook Mon. at 10:00}, \text{Dr. Clark Mon. at 9:00}, \text{Dr. Baker Wed. at 11:00} \)
  2. \( \text{Dr. Cook Wed. at 11:00}, \text{Dr. Clark Mon. at 9:00}, \text{Dr. Baker Mon. at 10:00} \)

Thus, the answer is: \(\boxed{\text{Valid schedules: 1 and 2}}\)

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