I am stuck on the first part of this question. There are several parts that follow that depend on this bit, and I know I can do them if I can just work this out. Any help would be gratefully received.

**1. Homework Statement**

Consider an isolated system of N identical spin-0 bosons inside a container where the allowed energy levels are non-degenerate and evenly spaced. Let η be the spacing between energy levels, and let q be the number of energy units (each of size η in excess of the ground-state energy). Assume that q<N.

(a) Draw diagrams representing all allowed system states from q = 0 up to q = 6. Let

each column represent a diﬀerent system state, and each row a single-particle state. Use

numbers to indicate the number of bosons occupying each level.

**2. Homework Equations**

None

**3. The Attempt at a Solution**

I have no idea how to draw such diagrams. Since I don't know the number of particles, N, how can I say what number are ocuppying each level? And N could 1000 or more, does this mean I should draw 1000 diagrams?? Surely not!

Thanks for reading.