A system has 10^24 identical particles. (a) If the number of states available to

Question

A system has 10^24 identical particles. (a) If the number of states available to each particle increases from two to three, by what factor does the number of states available to the entire system increase? (Give the answer in powers of ten.) (b) If the number of states available to each particle increases from 100 to 101, by what factor does the number of states available to the entire system increase? (c) If the number of states available to each of these particles increases from 1.000×10^30 to 1.001×10^30, by what factor does the number of states available to the entire system increase?

The answers are 10^(1.8*10^23), 10^(4.3*10^21), and 10^(4.3*10^27) but I don't know how to get there

Explanation / Answer

If the system have N identical particles and s number of states available to each particle then number of states avialable to entire system is

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