Consider a twon with n people. A person spreads a rumour to a second, who in turn repeats it to a third and so on. Supppose that at each stage, the recipient of the rumour is chosen at random from the remaining (n-1) people. The probability that the rumour will be repeated n times without being repeated to the originator is

Options

A. `(n-1)/n`
B. `(n-1)/((n-2)(n-3))`
C. `(1-1/(n-1))^(n-1)`
D. `((n-2)/(n-1))`

Answer

C