Types ordered based on number of resists + immunities:

Steel - 11
Fire - 6
Ghost - 5
Poison - 5
Dragon - 4
Fairy - 4
Flying - 4
Grass - 4
Rock - 4
Water - 4
Bug - 3
Dark - 3
Electric - 3
Ground - 3
Fighting - 3
Psychic - 2
Ice - 1
Normal - 1

Types ordered based on how many they are super-effective against:

Fighting - 5
Ground - 5
Fire - 4
Ice - 4
Rock - 4
Bug - 3
Fairy - 3
Grass - 3
Steel - 3
Water - 3
Dark - 2
Ghost - 2
Poison - 2
Psychic - 2
Electric - 2
Dragon - 1
Normal - 0