Question

Assuming all members are eligible but no one can hold more than one office list and count the different ways the club could elect a president a secretary and a treasurer if the president must be a man and the other two must be women. N=(A,B,C,D,E)

Answer 1

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

`\begin{gathered} \text{ACE} \\ \text{AEC} \\ \text{BCE} \\ BEC \\ DCE \\ \text{DEC} \end{gathered}`