# Probability of spreading $n$th Rumor

In a town of $n$ inhabitants, a person tells a rumor to a second person, who in turn repeats it to a third person and so on. At each step the recipient of the rumor is chosen at random from the $n-1$ people available.

Find the probability that rumor will be told $n$ times without Returning to originator .

Note: I have posted this as i could not understand the solution given in other thread of same problem.

My Try: