Question

Draw the linear arrangement: "A doctor must see six patients--C, D, E, F, G, and H--one after another, not necessarily in that order. The patients must be seen according to the following conditions:

E is seen exactly three patients after C.
D is seen immediately before F is seen

Answer 1

To order the patients C, D, E, F, G, and H, one must follow the constraints given, resulting in a possible arrangement like C, G, H, D, F, E. However, there may be multiple correct sequences that satisfy the conditions.

Step-by-step explanation:

Given the scenario that a doctor must see six patients--C, D, E, F, G, and H--we need to arrange them linearly while adhering to the stipulated conditions: E is seen exactly three patients after C and D is seen immediately before F.

By applying the conditions, let's consider a potential order:

1. C is first in line.
2. There must be three patients between C and E.
3. D is seen immediately before F, therefore they must be consecutive.

Considering these conditions, a possible arrangement could be:

C, G, H, D, F, E

This is just one example, and there may be other arrangements that also fulfill the conditions. It is important to check all possibilities to find all potential arrangements where the patients must be seen according to the following conditions.