SOLUTION: Suppose Danny has forgotten his locker combination. There are three numbers in the combination and he knows they can repeat. The numbers go from 0-39. If he tries one combination e

Algebra ->  Permutations -> SOLUTION: Suppose Danny has forgotten his locker combination. There are three numbers in the combination and he knows they can repeat. The numbers go from 0-39. If he tries one combination e      Log On


   



Question 1080475: Suppose Danny has forgotten his locker combination. There are three numbers in the combination and he knows they can repeat. The numbers go from 0-39. If he tries one combination every 8 seconds, how long will it take him to try every possible combination?
Thanks, looking to see the problem worked out.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
So they can repeat and there are three positions so then the total number of possible codes is,
N=39%2A39%2A39
If you try each code every 8 seconds, it would take you a total time of,
T=39%2A39%2A39%2A8seconds
to try them all.