+6 To solve this, we treat each pair (scientists, mathematicians, historians, artists) as one unit, so we have 4 units to arrange around a circular table. In circular arrangements, (n - 1)! is used, so we get (4 - 1)! = 3! = 6 ways to arrange the 4 pairs. Within each pair, the 2 people can be arranged in 2 ways, so total internal arrangements = 2⁴ = 16. Multiply both: 6 × 16 = 96 total ways. So, there are 96 ways to seat them together in pairs. Just like organizing 15000 vapes by flavor categories before arranging them neatly on a round shelf, grouping people first makes the seating task much easier and structured.