How Does Changing Energy and Oscillators Affect \(\Omega\) in Thermal Physics?

[nahanksh]

Homework Statement

Consider a collection of 100 oscillators, each with an average of 10 quanta.
a) By what factor would $$\Omega$$(microstate) change if the total energy were increased by a factor of 2?
b) By what factor would $$\Omega$$ change if one more oscillator were added to the original system without changing the total energy?

Homework Equations

The Attempt at a Solution

I tried to use (q+N-1)!/(N-1)!q! but it doesn't work...

The answer for a) is '2^99' and for b is 'a factor of 11'

Could someone help me out here?

Thanks a lot !

 

[morphemera]

I have just tried to substituted the value into the equation and it seems the answer is approximately correct a) 2^96.6 b) 10.9 (with N=100, q=1000).
Maybe I misinterpret the question.