Question

Sampling. The Bureau of Fisheries once asked for help in finding the shortest route forgetting samples from locations in the Gulf of Mexico. How many routes are possible if samplesmust be taken at 6 locations from a list of 20 locations?

Answer 1

The problem can be solved using permutation:

P = n! / (n-r)!

The generalized expression of the formula is, "How many ways can you arrange 'r' from a set of 'n' if the order matters?"

So,

P = 20!/(20 - 6)!

P = 27907200 different routes.