Question

2.60. 7 sisters dine at a round table. They dine together till
each to them dine with different neighbours i.e., they
do not like to dine with same neighbours in any two
arrangements. In a year. How many days they dine
together?​

Answer 1

Answer:

360 days

Step-by-step explanation:

The number of ways of arranging 7 people in a circle = (7-1)! = 6!

For any person to be seated with two neighbour, number of ways are 2 that is

AXB or BXA, where X is the person in question.

So, for each and every person, we can have two arrangements in 6!. Since we don't want to repeat such arrangements, we divide 6! by 2 to get 360 ways