- #1

matsu

- 5

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There are 10^24 balls, half of which are red and the other half blue.

The model is to arrange the balls in a cube with 10^8 balls on each edge.

It also divides the cube into smaller cubes of 10^5 on a edge, and defines a cube as uniformly purple

if the blue/red ratio in the cube is between 0.999 and 1.001.

Then comes the description of the values A and B below, which are approximate values that

are unclear how they were calculated.

(Value A)Number of states in which the entire 10^24 cube is uniformly purple: 10^23,570,00

0,000,000,000,000,000,000,000

(Value B)Number of states where the top half of the 10^24 cube is blue and the bottom half

is red: 10^46,500,000,000,000,000,000

I guess that the value A would be the value of (10^24)! but I have no idea how value B is calculated.

Can anyone give me a hint or help?

Note: The same question was asked in a previous thread, but the value B was not resolved.

https://www.physicsforums.com/threads/entropy-as-state-counting.963356/