The president must be a man and the other 2 offices(secretary and treasurer) must be a woman. No one can hold more than one office. Therefore, the different way the club could elect a male and females secretary and treasurer are represented below
[tex]\begin{gathered} \text{ACE} \\ \text{AEC} \\ \text{BCE} \\ BEC \\ DCE \\ \text{DEC} \end{gathered}[/tex]