How to count all ways to arrange Bosons?

[benagastov]

Homework Statement

This is very basic question but to be honest I dont understand even though I read Pointon's book. The question said what is all possible ways to arrange Bosons and how much is the total configuration. The energy states/levels are = 1E, 2E, and 3E. The total of boson particles are 2, and all of the states should have degeneracy/g_j = 3 and total Energy E = 4.

Is my answer incorrect? Thank you

Relevant Equations

W = \frac{(n+g-1)!}{n!(g-1)!}

 

[DrClaude]

In your enumeration of states, you are missing one case.

Your calculation on the right is correct only for distinguishable particles. This should not apply to identical bosons.