The exact number of different ways you can arrange all the atoms in the universe is an incredibly large number. To calculate this, we would need to know the total number of atoms in the observable universe. However, estimating the number of atoms in the universe is a challenging task due to its vastness and the uncertainties involved.
For the sake of providing an example, let's consider a simplified scenario. Suppose we have a conservative estimate of the number of atoms in the observable universe as 10^80, which is a rough estimate often used in cosmology. Now, let's imagine arranging these atoms in a line.
The first atom in the line can be chosen in 10^80 ways. The second atom can be chosen from the remaining 10^80 - 1 atoms, the third from the remaining 10^80 - 2 atoms, and so on. Therefore, the total number of ways to arrange all the atoms in the universe in a line would be:
10^80 * (10^80 - 1) * (10^80 - 2) * ... * 2 * 1
This number is incredibly large and difficult to comprehend. It far surpasses the number of atoms in the universe. To put it into perspective, the estimated number of atoms in the observable universe is about 10^80, and the number of seconds that have elapsed since the Big Bang is estimated to be around 10^18. The number of possible atom arrangements is astronomically larger than both of these quantities.
Keep in mind that this example is a simplified scenario, and the actual number of possible atom arrangements in the universe would be significantly larger due to the three-dimensional nature of space, the interactions between atoms, and various other factors.