Question: The number of ways in which 6 men and 5 women can dine at a round table if no two women are to sit t...

Question

The number of ways in which 6 men and 5 women can dine at a round table if no two women are to sit together, is given by

Answer 1

Arrangement of 6 men around a circular table is= $\begin{matrix} 5 \end{matrix}$

Arrangement of 5 women between 6 gaps is ⁶P₅

So total arrangement = $\begin{matrix} 5 \end{matrix}$ × ⁶P₅