On a rectangular table having 5 chairs each on the longer sides and 3 chairs each on the shorter sides?
Explanation:
Here, initially seats 1 and 9 are similar.
Similarly, from the figure, there are 8 different pair of seats i.e., 1 & 9, 2 & 10, 3 & 11, 4 & 12, 5 & 13, 6 & 14, 7 & 15 and 8 & 16.
Hence, the first person can be seated in 8 different ways on one seat out of the 8 different pairs of seats.
Once the first person is seated, the remaining 15 seats become different from each other.
∴ 15 people can be seated on these 15 different chairs in 15!
⇒ Total number of ways = 8 × 15!
Hence option (a).
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