# There are 5 men and 5 ladies to dine at a round table. In how many ways can they sit so that no ladies are together?

Let first arranged 5 men in the round table by 4! (by using the formula (n-1)! Mention above)

Now there are 5 gaps created between 5 men (check the figure)

So we arrange 5 ladies in this gap by 5!

A total number of ways to arrange 5 men and 5 ladies is 5! × 4! = 2880

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Circular permutations61 mins
Challenging Quiz on P&C | Test Yourself55 mins
Permutations & Combinations | Analyze your learningFREE Class
Understand Permutations like never before60 mins
Check Your progress Part 2| Interactive Quiz: Permutation & CombinationFREE Class
Lecture on Combinations49 mins
Interactive Quiz on Division and distribution of objects17 mins
Interactive Quiz on Combinations-0253 mins
Interactive Quiz on Combinations50 mins
Division and distribution of objects58 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses