FightingPsychic
Fighting and Psychic types: weaknesses, resistances and Pokémon
Fighting and Psychic Pokémon take double damage from Flying, Ghost and Fairy moves and resist Fighting and Rock moves.
The balance is even: 3 weaknesses and 2 resistances or immunities.
Fighting moves are super effective against Normal, Ice, Rock, Dark and Steel and not very effective against Poison, Flying, Psychic, Bug and Fairy. Psychic moves are super effective against Fighting and Poison and not very effective against Psychic and Steel.
To beat these Pokémon, your best pick is Flying, Ghost and Fairy moves. Avoid Fighting and Rock moves, which deal little or no damage.
There are 3 Pokémon with this combination, such as Meditite, Medicham and Gallade.