A moving company has a truck filled for deliveries to six different sites. If the order of the deliveries is randomly​selected, what is the probability that it is the shortest​ route?

Question

A moving company has a truck filled for deliveries to six different sites. If the order of the deliveries is randomly​selected, what is the probability that it is the shortest​ route?

​P(randomly selecting the shortest ​route) = __

​(Type an integer or a simplified​ fraction.)

Answer 1

Since order makes a difference, this is a permutation,

₆P₆ = 6!

Probability is 1 / 6!