SOLUTION: A group of people is such that the number of ways selecting 8 people is same as the number of ways selecting 12 people.In how many ways can 18 people be selected from this group?

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Question 892097: A group of people is such that the number of ways selecting 8 people is same as the number of ways selecting 12 people.In how many ways can 18 people be selected from this group?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
i was able to solve this graphically.

the solution is n = 20

C(20,8) = 125970

C(20,12) = 125970

C(20,18) = 190

the graph is shown below:

$$$

i tried to solve it algebraically and ran into great difficulty so i settled for what i could do which was the graphical solution.