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Kezzle

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Jun 10, 2012
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http://www.gunvault.com/minivault-gv1000s.html

First time poster, I recently purchased a firearm and am researching a gun safe. The one I am looking at has 4 buttons(one for each finger), and you can only have a 4 button combination. My question is that it seems like there are only a few combinations possible. How many combinations are there and how likely is someone to actually guess it? See link to the safe for a picture of it, thanks for the help.

Kelvin
aka Kezzle
 
It is stated in the video, there are over 12 million. To figure it out, you would need to know how many presses are allowed.
 
Hello, Kezzle!

I recently purchased a firearm and am researching a gun safe.
The one I am looking at has 4 buttons (one for each finger), and you can only have a 4 button combination.
My question is that it seems like there are only a few combinations possible.
How many combinations are there and how likely is someone to actually guess it?
See link to the safe for a picture of it. Thanks for the help.
Click to expand...

The combinations was explained in the FAQ.

I believe there are not millions of combinations.
But maybe I misread the instructions.

An entry is the pressing of 1, 2, 3 or 4 buttons simultaneously,
. . like playing a note or a chord on a keyboard.
And we can have 3, 4, 5, or 6 entries.


For each finger, we have two choices: press or not.
. . So there are \(\displaystyle 2^4 = 16\) possible entries.
However, this includes the option of pressing no buttons.
. . Hence, there are: \(\displaystyle 16 - 1 \,=\,15\) possible entries.

With 3 entries, there are \(\displaystyle 3\cdot15 = 45\) combinations.
With 4 entries, there are \(\displaystyle 4\cdot15 = 60\) combinations.
With 5 entries, there are \(\displaystyle 5\cdot15 = 75\) combinations.
With 6 entries, there are \(\displaystyle 6\cdot15 = 90\) combinations.

I find only \(\displaystyle 45 + 50 + 75 + 90 \,=\,270\) possible combinations.
 
JeffM said:
If my understanding is correct, you CAN have more than 15^6 possibilities, which is over 11 million. Of course if you use only three entries, it is just 3375 possibilities.
Click to expand...

I agree.
 
Hello, JeffM!

I too agree!

(I wonder where my brain was at the time . . .)
 
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