IN/OUT game: finding max/min number of remaining events that could occur?

hihihi9993

Hello! Does anyone know easy quantitative way for finding maximum/minimum number of remaining events that could occur when certain variables are selected in In/Out game?

For example, lets say there are 10 variables in total: A, B, C, D, E, F, G, H, I, and J.
Rules:
A -> /B
If B does not occur, then either H or I but not both occur
D can only come with one other variable
D and E can't come together
H -> E + F

Question: Suppose that C and E both occur. What is the maximum AND minimum number of remaining events that could occur?

THANK YOU in advance

dennisgerrard

Is this a specific game??

GrecoRoman

The quick way to see maximum or minimum can be done by counting your unique not both, either or, or forever apart biconditional rules. Not both and forever apart biconditionals limit your maximum and either or and forever apart biconditionals limit your minimums. Your rules have 2 unique not both rules so your maximum would be 8(with BCEFGHIJ in, A and D out). One either or rule would mean one minimum(B or I in alone). If C and E occur it would be 8/3 max/min.

hihihi9993

@dennisgerrard No! Someone made it up.
@"work all week" Thank you

BirdLaw818

Exclude whatever you can using the rules, then work your way DOWN.