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15,504 ways to play!

Decisions, decisions, decisions. Once the holiday season gets closer, you have to decide what gifts to buy, what wrapping to use, which phone numbers to accidentally delete. There are many decisions to make as you get ready for the holidays, but one decision that we’re making easy for you is, “Should I buy anything from GOG.com’s Black Friday sale?” (The answer is “yes”, by the way. ;) Not only are we launching the sale early--in case you spend Friday in a turkey-induced coma--but we’re also giving you the power to pick your own promo!

In our Pick 5 & Pay $10 sale you pick 5 out of twenty fantastic indie games and pay $10 for them regardless of the game’s regular full price. That's $2 per game, for such titles like Torchlight, Resonance, Alan Wake's American Nightmare, Botanicula, Geneforge 1-5, Uplink, To the Moon, and many others. Seven of these games are both PC and Mac compatible, so everyone can enjoy!

The games are fantastic--and there are so many of them! That's why we started this sale early: to give you time to pick your dream-set of 5 games out of 15,504 possible combinations. You could look at this as another decision you have to make this year, but unlike trying to figure out who you should sit next to your slightly crazy uncle at Thanksgiving dinner, this one’s fun!

Black Friday marks the start of the “shopping season” for the holidays, so don’t forget to buy the gift of GOG for a gamer you love--or even just kind of like. You can’t spread much more holiday joy than this for just $10.
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mondo84: I was curious and had to check the math in the announcement

They say 15,504 ways to play.

You have 20 distinct items and 5 boxes to place them in. Order does not matter, and there is no repetition. This is a combination problem, not a permutation.

So, the number of possible combinations is:

( n ! )/ [ r ! * (n - r) ! ), where n is the total number of items (n=20), and r is the number of choices or boxes (r=5)

Note that x ! = x * (x-1) * (x-2) * ... * 2 * 1

So, 20! / [ 5! * (20-5) ! ] = 2432902008176640000 / ( 120 * 1307674368000) = 15504

GOG wins!
I was thinking about the same thing, thanks for putting that together! It's been years since I needed to use factorials for anything.
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mondo84: I was curious and had to check the math in the announcement
Remind me, since I'm a bit too sleepy to check the math, does this also allow for one (or more) choices to be empty? Because you can buy only 4 items (or even only 1 if you so wish).
Edit: Seems like the minimum is 2 games, but still a few more combinations.
Post edited November 20, 2012 by JMich
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mondo84: I was curious and had to check the math in the announcement

They say 15,504 ways to play.

You have 20 distinct items and 5 boxes to place them in. Order does not matter, and there is no repetition. This is a combination problem, not a permutation.

So, the number of possible combinations is:

( n ! )/ [ r ! * (n - r) ! ), where n is the total number of items (n=20), and r is the number of choices or boxes (r=5)

Note that x ! = x * (x-1) * (x-2) * ... * 2 * 1

So, 20! / [ 5! * (20-5) ! ] = 2432902008176640000 / ( 120 * 1307674368000) = 15504

GOG wins!
Takes me back to my days in discrete math and the "trip to the donut store" problems. I forget pretty much all of this math, but I still remember the arguments that some of the old people (trying to start a new career in programming) would have with the teacher. Old people, he probably knows what he is talking about!
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mondo84: I was curious and had to check the math in the announcement
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JMich: Remind me, since I'm a bit too sleepy to check the math, does this also allow for one (or more) choices to be empty? Because you can buy only 4 items (or even only 1 if you so wish).
No you can't, and his formula considers only different combinations of 5 games otherwise he'd have to do the same thing with c= 4, c = 3, c= 2, and c=1 (20) and add the results ...

I call C what he calls r ^^'
Post edited November 20, 2012 by N0x0ss
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N0x0ss: No you can't.
True, 2+ is the minimum.
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brianhutchison: - Torchlight actually has a netbook mode (surprised me) and is great fun
Oh, I either didn't know or forgot about it. I'll have to try running Torchlight on my netbook then, too, thanks! :)


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brianhutchison: EDIT: Machinarium graphics are clipped on the netbook - trying to figure if I can change it.
I fear there's no way around it, at least I didn't find any. I can only enjoy it on my desktop PC, because the resolution is fixed. :(
You know what? I didn't realize there's a 2 game minimum. I thought you had to pick 5. In that case, you'd calculate each number of possibilities for 4 choices, 3 choices, and 2 choices separately, then add all four up together.

That gives:

5 choices: 15504
4 choices: 4845
3 choices: 1140
2 choices: 190

Total possible checkout combinations: 21679

Looks like GOG was wrong, and so was I! GOG community wins!
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brianhutchison: .
thanks :) +
much better answer than i expected even lol
Post edited November 20, 2012 by pseudonarne
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mondo84: Looks like GOG was wrong, and so was I! GOG community wins!
Huzzah!
Well, this looks like a good opportunity to pick up all the current GOG Wadjet Eye releases. I don't know what else to get though.
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SimonG: Looks like GOG is trying to be the master the devaluation of games...

Anyway. Only modern games, nothing for me ...
I don't say this often, but I actually disagree. I think that this is an excellent sale compared to the usual ones we get which barely give maybe $1-2 off the normal price. I agree it's all pretty much modern games and a number of them I own from either bundles or actual sales.

However, I've got to admit it's a decent mix of genres in there. Also, considering that I would never pay more than $10 for these anyways (and I think a couple aren't worth that) this is allowing people like me to get games we couldn't normally afford to buy or would pass up because of the price.

In a way, this is finally a sale worthy of Steam, which is known for having great sales - the developers who participate never seem to feel their games are devalued, or at least none that I've heard from.
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brianhutchison: - Torchlight actually has a netbook mode (surprised me) and is great fun
Do you actually play it on your netbook, too? I've just tested how well it runs on mine in netbook mode, and while it's certainly working, it's not really fun to play as the framerate is pretty low and the game is constantly lagging even on the lowest settings.
Can we partake this special multiple times, that is, get all 20 games for $40?
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jefequeso: snip
Have you ever heard of a game called Auditorium? It's a puzzle music game that might be more your style. Here's a gameplay video http://www.youtube.com/watch?v=0XRK85U3hyg

I'll admit I could be a little biased, I'm a sucker for puzzle games with somekind of twist to them. In any case you can play a demo on their website http://www.playauditorium.com/ so if you have 5 minutes free at least give it a shot.

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Jryvn: Can we partake this special multiple times, that is, get all 20 games for $40?
Yes you can.
Post edited November 20, 2012 by DaCostaBR
Man, it's a shame I already about half the list, which leaves exactly one game that interests me. (American Nightmare).