Derive an asymptotic expression for the number of ways in which a given energy E can be distributed among a set of N one-dimensional harmonic oscillators, the energy eigenvalues of the oscillators being (n+21)ℏω; n=0,1,2,…, and (ii) the corresponding expression for the ``volume'' of the relevant region of the phase space of this system. Establish the correspondence between the two results, showing that the conversion factor ω0 is precisely hN.