Find a generating function for the number of partitions of n into
a) summands no larger than 4.
b) summands the largest of which is 4.
c) at most four summands.
d) exactly 4 summands.
Do you realize that ‘bumping’ is strictly against forum rules you agreed to follow?
Moreover, you simply posted a list of showing no effort on your part.
Now, I for one will not answer that sort of posting.
Why not show that you have at least minimum effort indicating that you have at least attempted a solution for yourself?