Answer
There are 18 ways of selecting three men and three women.
Work Step by Step
In the study, the assumption is that women and men be seated alternatively around a table.
Three men can be seated around the circular table in (3 − 1)! ways.
Three women can be seated around the circular table in 3! ways.
Required number of ways =(3 − 1)!×3! =2×1 ×3 ×2 ×1 =18
Hence, there are 18 ways of arranging three women and three men to be seated around a circular table.