Three distinct sets of indistinguishable twins are to be seated at a circular table that has 8 identical chairs. Unique seating arrangements are defined by the relative positions of the people. How many unique seating arrangements are possible such that each person is sitting next to their twin?

Question

Accepted Answer

The correct answer is A, 12. GATE 2024 official key: (A). Treating each twin-pair as a block that must occupy two adjacent chairs and counting the distinct relative circular arrangements of the three blocks (with the remaining empty chairs distributed among the gaps) gives 12 unique arrangements.