Question

28 different ways.

2) {#2in text} List and count the different ways a president and treasurer can

be elected if the president must be a female.

Answer 1

The different number of ways to select a female president and a treasurer is 8.

Explanation:

The complete question is:

Find the number of ways that club N= {Alan, Bill, Cathy, David, Evelyn} can elect both a president and treasurer if the president must be a female.

Solution:

The male members are: Alan (A), Bill (B) and David (D)

The female members are: Cathy (C) and Evelyn (E)

The list of different ways to select a female president and a treasurer is:

{CA, CB, CD, CE, EA, EB, ED and EC }

The number of ways to select a female president:
`{2\choose1}=2`

The remaining number of members of the club is, 4.

The number of ways to select a treasurer is,
`{4\choose1}=4`

The total number of ways to select a female president and a treasurer is,

2 × 4 = 8 ways.