Question 209893This question is from textbook
: suppose you have totally forgotten the combination to your locker. There are three numbers in the combination, and you're sure each number is different. The numbers on the lock's dial range from 0 to 35. If you test one combination every 12 seconds, how long will it take to test all possible combinations?
This question is from textbook
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
There are 36 ways to select the first number, 35 ways to select the second number (because the first number cannot be repeated), and 34 ways to select the third number for a total of:
different combinations. Each one takes you 12 seconds, so:
is the number of seconds required to test all combinations.
 minutes
 hours
 days
 hours
 minutes, so:
5 days, 22 hours, 48 minutes -- provided you do not stop to eat, drink, sleep, visit the restroom, or anything else during that period. Furthermore, that presumes that you don't make any mistakes, either by repeating a combination or omitting one.
John
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