Frogskin Math - How Many Pairs Do You Own?

[sharkin]

I was wondering how many possible pairs of frogskins I can make with all my parts.

I figured it wasn't going to be as simple as multiplying out the options as there are 5 discrete variables involved, but it actually works just fine.

F= # of frames
R= # of right lenses
O= # of left lenses
G= # of right legs
S= # of left legs

F*R*O*G*S = possible pairs

I have 4 pairs of frogs, and one of them has 2 sets of legs

4*4*4*5*5 = 1,600 total possible pairs of frogskins.

What about you?

 

[sharkin]

Ignore the poll, I forgot it was there when I submitted the thread

 

[OakleyFrankFMJ]

I'm gonna go with by the time you finish swapping all those parts all those times you will probably be left with MAYBE one single pair of useable Frogs as most of the parts will probably end up being junk.

@Rustpot Care to go into the mathematical portion of this?

 

[nlgrav182]

Not that I'm disassembling them...

4 frames
4 right lenses, but 2 duplicates, so 3 unique right lenses
3 left lenses (^)
3 right legs (^^)
3 left legs (^^^)
-------------------------
432 possibilities

 

[Rustpot]

I'm gonna go with by the time you finish swapping all those parts all those times you will probably be left with MAYBE one single pair of useable Frogs as most of the parts will probably end up being junk.

@Rustpot Care to go into the mathematical portion of this?

It's not that complex. 1,600 unique combinations can be created.

That's how Oakley made the old ads like this one.

The little number in the corner is 22,394,880 from 10 lenses, 9 noses, 12 trigger stems, 12 straight stems, and 12 frames. Multiply 10x9x12x12x12 and you get 155,520. So I'm not sure where they get the 22 million.

 

[nlgrav182]

The ad does say Blades and Razor Blades, so there should be doubles on the straight stems and trigger stems. I need to write it out to visualize it but 22,394,880/155,520 = 144, which is conveniently 12x12. Maybe they're counting Blade frames and nose pieces separately from Razor Blade?

 

[the_owl]

21 dang. I wouldnt even wear frogs

 

[joshbrinzo]

I won't be taking them apart anytime soon, but...

19 frames
20 right lenses
20 left lenses
21 right legs
21 left legs

It would be a pain taking them all apart.

 

[Timwtf]

Only 10 pairs of Frogskins, never enough in my opinion.

 

[Gunn]

41 complete pairs... and a couple of stems too. At least 115 Million possibilities with your formula. But I don't dare to dismount some of them, don't wanna crack them.