12 constellation, what is the probability that 8 people are randomly selected and their constellations are all different?

Let these people be a 1, a2, a3 ..., a8.

When the first person chooses, none of them is a constellation, so he has 12 possible constellations. When the second person chooses, there is already the constellation of the first person, so there are only 1 1 possibilities. By analogy, by the eighth person, there is already A 1 ... so he can only have: 12-7=5 possible constellations.

∴ Multiply everyone's possibilities to get the total number of all possibilities equal * * *:

12* 1 1* 10*...*5= 19958400。

The total possibility of * * * is: 12 to the eighth power, that is, 4299 1696.

∴ The possibility that all eight constellations are different is:19958400/429981696 = 0.0464169. That is:

464 169/ 10000000.