Henry Ernest Dudeney/Puzzles and Curious Problems/288 - Seating the Party

Puzzles and Curious Problems by Henry Ernest Dudeney: $288$

Seating the Party

On a family outing, Dora asked in how many ways they could all be seated.

There were $6$ of them, three of each gender, and $6$ seats:

one beside the driver, two with their backs to the driver, and two behind them, facing the driver,

No two of the same gender were allowed to sit side by side.

The only people who were able to drive were the men.

So, how many ways could they all be seated?

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Combination and Group Problems: $288$. -- Seating the Party
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Combinatorial & Topological Problems: Miscellaneous Combinatorial Puzzles: $465$. Seating the Party