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  3. How many possible combinations?

User Info: jayweck

jayweck
3 weeks ago#1
Including solos, duos, trios and full parties, how many possible combinations are there in the FF1 NES game?

User Info: jayweck

jayweck
3 weeks ago#2
I think it’s 1544

User Info: des223

des223
3 weeks ago#3
My math is a bit rusty, but I think it's 209 (where party order doesn't matter...that is, FFBW is the same as FFWB):

6 solo parties
21 duos
56 trios
126 full parties

It's essentially (7 multichoose 4) - 1, where the "- 1" is due to the fact that we can't have an entire party with no alive characters. The math for multichoose is here:

https://math.stackexchange.com/questions/1356876/unique-combinations-of-7-items-repetition-allowed-order-doesnt-matter

EDIT: A bunch of us gathered together and finished the game with each possible combination, back in 2008. GFaqs threads only started being archived around then, so a lot of the work was lost, but here's a thread from near the end of our work:

https://gamefaqs.gamespot.com/boards/522595-final-fantasy/44299556
If there were college degrees in 8-bit Nintendo, I'd have a Ph.D. by now.
(edited 3 weeks ago)

User Info: jayweck

jayweck
3 weeks ago#4
It’s amazing how many times I’ve played this game and how few times I believe I’ve played the same crew more than once. I never get bored with it.
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