How many ways to seat 4 couple and 2 single around a round table, provided that each couple will sit together
[Math] How many ways to seat 4 couple and 2 single around a round table
combinatoricspermutations
combinatoricspermutations
How many ways to seat 4 couple and 2 single around a round table, provided that each couple will sit together
Best Answer
Edit: Sorry for the confusion!
Viewing each couple as a unit, you're arranging six units around a round table, for which there are $5! = 120$ ways, since we can fix one of the singles to a chair. Then, you can change the order within each couple, so there should be $120 \times 2^4 = 1920$ ways.