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How many power combinations exist in game to date?


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14 hours ago, Snarky said:

at this point madness consumes me looking at the conversation.  @Scarlet Shocker did indeed mention pool powers.  but are we counting each different pick within a power as a different unique "combo" or just "some from this" and "some from that"?

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I can give a preliminary Upper Limit on how many different power choices there are for scrappers: 1.07175E+17, or 

107,174,607,875,176,000.

 

I'm accounting for all possible 24-power choices from the combinations of primary, secondary, power, epic/ancillary, and patron pools; (hopefully) accounting for how many legal combinations of pools a scrapper character could have.

 

However, it's complicated by the constraints inside each power set. For example, it's not possible to pick only the tier-8 and tier-9's out of your primary, but my preliminary upper limit pretends you can. If there were no constraints, you would have (9 choose 2) = 36 combinations of two power choices out of your primary, but in reality, it's probably only 15 -- you pick either the first or second power at level 1, and then with one remaining choice, pick one of the other eight, and one of those could be a duplicate of power 1 and then 2, or power 2 and then 1; so the total is 2 x ( 8 Choose 1) -1. If we were to follow this through all the numbers of primary powers we might pick, obeying the limits, then for each case the legal number of combinations will be lower.

 

Similarly, you have to pick from pool powers with restrictions, some are prerequisites to others. These limitations can be very big in the combinatorial space, and so my upper limit is probably much, much larger than the real number. But I thought I'd put it out there.

 

Edited by Andreah
Fixed a typo.
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