psfox:

By the assumed count of 235 characters- not counting imps, ogres, the likes, and summing the Circle of Horrorterrors to one, as their definite number is undefined. Not to mention implied characters in existence  still not counted as we have not bee introduced to them or they are unimportant to the plot. Also in use of the standard, expected count of participants in each relationship. 

Found using Combination and Possible Outcome. (online comb. calculator used)

Quadrants: 

Auspice alone earned most number of possible ships at 2,190,670 possible auspistices.

The following three quadrants each are standard pairing ships, so commonly, only 2 participants. There are 27,730 possible ships for each quadrant, and all sum up to have 173, 190 ships not counting auspistism .

The count for the original four quadrants, again, not counting alt. timelines and assuming character count of 235, is *drum roll*

2, 217,930

Woot!

Charms

Okay, so for the charms, my easiest approach was first understanding how the combos could be accounted for through a visual. 

Now, using combination (restricting repeat, as it wouldn’t make sense to have a combo of the same charm repeating. It’d defeat the purpose of combos), it has a mid point in which it begins reflecting.

1 charm - 9 possible

2 charm combo- 36 possible

3 charm combo- 84 possible

4 charm combo- 126 possible

5 charm combo- 126 possible

6 charm combo- 84 possible

7 charm combo- 36 possible

8 charm combo- 9 possible

9 charm combo- 1 possible

If you look at the 3x3 box, you will understand how it reaches a loop when you can only have one combination of 9 charms and vice versa. 

So using “possible outcome”, the simplest way to deal with this, we have a total of 511 different charm combos for each possible 2-way pairing (27730) 

511 * 27730

14,170,030 charm ships

We have a grand total of 14,170,030 charm ships possible.

Although, you have to consider this is under the assumption that they’re strictly paired charm, unlike auspice, which racked up the most numbers.

GRAND TOTAL

This leads to the sum of both Charm and Quadrant ships under standard participant number and assumption, at character count 235, to be….

*drum roll*

16,387,960 ships

*~NOT COUNTING the thousands upon thousand of alt. timelines and dead.~*

Fin