1. We start with A and E sitting next to each other as follows, preserving generality since the table is circular:
A-E

2. We add D, who wants to sit next to E and B, to the table. Since there is only one spot next to E, we know that D must go there. We must now add B to the right of D in order to meet D's preference. We now have:
A-E-D-B

3. We add C who wants to sit next to A or D. Since D is already sitting next to 2 people, we must add C next to A as follows:
C-A-E-D-B

However this violates B's seating preference, as B is now sitting next to C. Therefore no seating arrangement is possible.
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