Eight friends – A, B, C, D, E, F, G, and H – are to be seate...

Prompt

Eight friends – A, B, C, D, E, F, G, and H – are to be seated around a square table. The seats are numbered 1 to 8 in a clockwise direction, starting with seat 1 at the top left corner of the table. Those in seats 1, 3, 5, and 7 (the corner seats) face the center of the table. Those in seats 2, 4, 6, and 8 (the mid-side seats) face outwards. The seating arrangement must also satisfy the following conditions: 1. G sits at seat 1. 2. Both of D's immediate neighbors face away from the center. 3. Both of B's immediate neighbors face the center. 4. F sits to the immediate right hand side of D. 5. H sits third to the left of E. 6. B sits second to the right of F. 7. A and F sit opposite each other. 8. D does not sit in the bottom seats. Two seating arrangements are considered distinct only if at least one person has a different person sitting immediately to their left or right. Based on this, how many distinct seating arrangements are possible? For each possible number of seating arrangements, list the position of each friend in the arrangement, starting from seat 1 and proceeding clockwise to seat 8. a) 1 b) 2 c) 3 d) 4 e) 5