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What I did here was treat each couple as a single block.

Since everyone has to sit next to their partner, the 5 couples become 5 units.

Now arranging 5 units around a circular table gives:

(5 - 1)! = 24

After that, within each couple, the husband and wife can swap places.

So each block has 2 arrangements.

For 5 couples:

2^5 = 32

Therefore:

24 × 32 = 768

Answer: (E)

Maybe I'm missing a shorter way, but the "couples as blocks" approach felt the most straightforward to me.

— Rajdeep
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