List the outcomes comprising the specified event.
-Three board members for a nonprofit organization will be selected from a group of five people. The board members will be selected by drawing names from a hat. The names of the five possible board Members are Allison, Betty, Charlie, Dave, and Emily. The possible outcomes can be represented as Follows.
$\begin{array} { l l l l l } \mathrm { ABC } & \mathrm { ABD } & \mathrm { ABE } & \mathrm { ACD } & \mathrm { ACE } \ \mathrm { ADE } & \mathrm { BCD } & \mathrm { BCE } & \mathrm { BDE } & \mathrm { CDE } \end{array}$
Here, for example, ABC represents the outcome that Allison, Betty, and Charlie are selected to be on the board. List the outcomes that comprise the following event.
$A =$ event that fewer than two men are selected
A)ACD, BCD, CDE
B) $\mathrm { ABC } , \mathrm { ABD } , \mathrm { ADE } , \mathrm { BCE } , \mathrm { BDE }$
C) $\mathrm { ABC } , \mathrm { ABD } , \mathrm { ACE } , \mathrm { ADE } , \mathrm { BCE } , \mathrm { BDE }$
D) $\mathrm { ABC } , \mathrm { ABD } , \mathrm { ABE } , \mathrm { ACE } , \mathrm { ADE } , \mathrm { BCE } , \mathrm { BDE }$

Question

List the outcomes comprising the specified event.
-Three board members for a nonprofit organization will be selected from a group of five people. The board members will be selected by drawing names from a hat. The names of the five possible board Members are Allison, Betty, Charlie, Dave, and Emily. The possible outcomes can be represented as Follows. 
$\begin{array} { l l l l l } \mathrm { ABC } & \mathrm { ABD } & \mathrm { ABE } & \mathrm { ACD } & \mathrm { ACE } \ \mathrm { ADE } & \mathrm { BCD } & \mathrm { BCE } & \mathrm { BDE } & \mathrm { CDE } \end{array}$
Here, for example, ABC represents the outcome that Allison, Betty, and Charlie are selected to be on the board. List the outcomes that comprise the following event.
$A =$ event that fewer than two men are selected  
A)ACD, BCD, CDE
B) $\mathrm { ABC } , \mathrm { ABD } , \mathrm { ADE } , \mathrm { BCE } , \mathrm { BDE }$
C) $\mathrm { ABC } , \mathrm { ABD } , \mathrm { ACE } , \mathrm { ADE } , \mathrm { BCE } , \mathrm { BDE }$
D) $\mathrm { ABC } , \mathrm { ABD } , \mathrm { ABE } , \mathrm { ACE } , \mathrm { ADE } , \mathrm { BCE } , \mathrm { BDE }$

Quizplus · Accepted Answer

Assuming Allison and Betty are women, and Charlie, Dave, and Emily are men (based on common name associations and the context of the question focusing on gender balance), the correct outcomes where fewer than two men are selected include combinations with at least two women (Allison, Betty, Emily). Thus, all combinations excluding those with two or more men (Charlie, Dave) are listed in option D.

List the Outcomes Comprising the Specified Event Here, for Example, ABC Represents the Outcome That Allison, Betty