Ok, I have this lock and can't remember the combination. It's the standard Master Lock with 3 numbers in the combination and the numbers are 0 - 39. However, I do remember all three of the numbers are either 10,15,20,25,30, or 35. And none of the numbers are repeated. Can anyone think of good way to go about going through all the possibilities?
PS - Thanks for reading and I've already tried the stuff about finding the 12 "sticks."
Hello, cowmoonrock!
There are: . possible choices.I have this lock and can't remember the combination.
It has 3 numbers in the combination and the numbers are 0 - 39.
However, I do remember all three of the numbers are either 10,15,20,25,30, or 35.
And none of the numbers are repeated.
Can anyone think of good way to go about going through all the possibilities?
To crank through all the combinations . . . call the six numbers:
Use the first two: .
For the third, cycle through the other four numbers: .
Change the second number: .
For the third, cycle through the other four numbers: .
Similarly, we have: .
And we have the 20 that begin with
To find the 20 that begin with . . .
Begin with: .
Cycle through the other four numbers: .
Then: .
And so on . . .