﻿ There are 5 gentlemen and 4 ladies to dine at a round table. In how many ways can they seat themselves so that no two ladies are together? : Kaysons Education

# There Are 5 Gentlemen And 4 Ladies To Dine At A Round Table. In How Many Ways Can They Seat Themselves So That No Two Ladies Are Together?

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## Question

### Solution

Correct option is

2880

Five gentlemen can be seated at a round table in (5 – 1)! = 4! ways. Now, 5 places are created in which 4 ladies are to be seated. Select 4 seats for 4 ladies from 5 seats in 5Cways. Now 4 ladies can be arranged on the 4 selected seats in  ways.

Hence, the total number of ways in which no two ladies sit together

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