The answer is the coefficient of in the expansion of .
Can you finish?
(Specifically, for ($10, $20): (10, 0), (8, 1), (6, 2), (4, 3), (2, 4), and (0, 5))
but i just wanted to actually know the mathematical way to do it.
Mr. plato gave the way im assuming my teacher wanted it, but I totally did not expect that question, I think the answer I got was right (6), but im not sure if he'll approve of my methods lol.
So i think i may have gotten it right.
I have asked students to set up such problems just to check on understanding.
Unless one spends a good deal of time on how coefficients are calculated from generating functions, I donít think we can expect much more than that. There is in fact a whole textbook on generating functions, it could be a whole course.
There was one other curveball question he put on the test that I didnt even THINK of reviewing, my fault of course, I couldnt even start the problem lol.
Anyways thanks for the quick reply.