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 3 years ago
Say I have a three digit combination lock. What is the minimum number of trials I need on the combination to ensure that I get the correct combination?
Hint.. answer is not 10^3 ...
 3 years ago
Say I have a three digit combination lock. What is the minimum number of trials I need on the combination to ensure that I get the correct combination? Hint.. answer is not 10^3 ...

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KingGeorge
 3 years ago
Best ResponseYou've already chosen the best response.0If I type in these numbers; 0123456789, will it count as trying all of 012, 123, 234, 345, 456, 567, 678, and 789?

KingGeorge
 3 years ago
Best ResponseYou've already chosen the best response.0Or only 012, 345, 678, 9?

KingGeorge
 3 years ago
Best ResponseYou've already chosen the best response.0Are there any other restrictions? Otherwise, I don't see how it could be anything but \(10^3\).

campbell_st
 3 years ago
Best ResponseYou've already chosen the best response.0well there are 10^3 possible combinations... so you could take 10^3 1 attempts before you get the successful combination

campbell_st
 3 years ago
Best ResponseYou've already chosen the best response.0that is assuming the correct combination is the last 1 entered

campbell_st
 3 years ago
Best ResponseYou've already chosen the best response.0then its 9^3  1 since only 9 digits

campbell_st
 3 years ago
Best ResponseYou've already chosen the best response.0so 728 trials may be needed

campbell_st
 3 years ago
Best ResponseYou've already chosen the best response.0minimum is 1 trial as you get it 1st go

shaan_iitk
 3 years ago
Best ResponseYou've already chosen the best response.0Okk .. I would elaborate the question ... I have a three digit combination lock with each digit having 10 possibilities. Once the correct combination is entered the lock opens automatically. How will I optimize my search so as to ensure that I get the combination in the mimimum number of trials. Whst is the minimum number of trials? None of the answers given so far are correct

campbell_st
 3 years ago
Best ResponseYou've already chosen the best response.0well you gave us 9 digits 0 to 8

Ishaan94
 3 years ago
Best ResponseYou've already chosen the best response.1Is this really possible? I mean is there a algorithm for this system which could be faster than the brute force algorithm.
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