There are 6 ladies and 5 gents to dine at a round table. In how many ways can they seat themselves so that no two gents are seated together.	Answers: A) 85400 B) 86400 C) 36400 D) 65600 E) 88600
First arrange the ladies. This is a circular arrangment. 6 Gents can be arranged in 5! ways.   Now there are 6 spaces (space in between two ladies) and we have to seat 5 gents there.   First select 5 places out of 6 available places. can be done in 6C5 ways. Then arrange 5 gents there in 5! ways.   Total: 5!*6C5*5! = 86400   86400 is the answer.
<result>B</result>
There are 6 ladies and 5 gents to dine at a round table. In how many ways can they seat themselves so that no two gents are seated together.