How many different ways are there to arrange a row of 4 men and 2 women so that no two women sit next to one another?
220
360
420
470
Given that,
No two women would be seated next to each other if they sit between men.
So, first, the men can be arranged in 4 ! ways.
There are 5 spots between the men.
The number of ways to arrange the 2 women in those 5 spots is given by,
So, the total number of ways is,
Therefore, the number of ways the seating arrangement is done in 480 ways.
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