Hi, I can't seem to answer this question. The answer I get differs from the back of the book and I don't understand why.
Q: The camera club has 5 members, and the math club has 8. There is only 1 member common to both clubs. In how many ways could a committee of 4 people be formed with a least one member from each club?
I think the part where I'm going wrong is where the 1 member overlaps. I'm not sure how I'm suppose to deal with it. The answer I get is 470 while the answer at the back is 459...
If someone could please show me how I'm suppose to go about solving this problem, it would be great!