Question

The number of ways in which six people can be seated at a round table so that all shall not have the same neighbours in any two arrangements is:-
A) 40
B) 49
C) 60
D) 120

plz answer with full explanation

Answer 1

6 People in a round table can be seated in (6 - 1) ! ways = 120.

When items are arranged in circle the permutation formula is (n−1)!

6 People in a round table can be seated in (6−1)! = 5! ways

= 5×4×3×2×1=120.