The coefficient of in the expression:
Power of x represents money given to Alan, and power of y represents money given to Bob.
I think you can see how all the numbers fit together.
Definitely wouldn't want to calculate this by hand
Alan and Bob have stolen a total of $10,000 from the bank, in the form of fifty $20 bills, forty $50 bills, and seventy $100 bills. How many ways are there to split the loot evenly between them? Express your answer as a coefficient of a generating function.
I'm having trouble solving this cause I am not sure how to fit all the conditions into a generating function.