A club has 30 members is formed from 12 democrats and 18 republicans. How many different committees consisting of 8 democrats and 8 republicans are possible to be formed?

Given:

Total number of members = 30

Number of democrats = 12

Number of republicans = 18

To find:

Number of different committees consisting of 8 democrats  and 8 republicans are possible to be formed.

Solution:

Total number of ways to selecting 8 democrats  from 12 democrats  is

Total number of ways to selecting 8 republicans from 18 republicans  is

Now, number of different committees consisting of 8 democrats  and 8 republicans are possible to be formed is

Therefore, the total possible ways are 21660210.

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.