D&D (2024) Missing background ability score combination speculation

mellored

Legend
Just for fun..

There are 20 combinations of 3 ability scores, and 16 backgrounds. Assuming no repeats, what 4 combinations will NOT show in the PHB?

*Custom background are available in the DMG, and I expect that will be the default for most tables, but let's ignore that for this thread.
 

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Assuming an equal spread (you don't need to) each stat will be missing twice.

Str, Dex, Int.
Con, Int, Cha
Dex, Wis, Cha
Int, Con, Wis.
 






If it's not already an optional rule, assigning stats (+2 +1 or +1 +1 +1) will become one of my first house rules.
I've been considering moving the +2 mod to the class (Fighter gets +2 Str; Ranger gets +2 Dex; Barbarian +1 Str, Con; Wizard +2 Int, Paladin +1 Cha, Wis; Sorcerer +2 Cha; Bard +1 Dex, Chr; Warlock +1 Con, Cha; Cleric +2 Wis; Druid +1 Con, Wis; Monk +1 Str, Dex, Wis) and a +1 to certain races (Elves +1 Int, Halfling +1 Dex, Dwarf +1 Con, Half-elf +1 Cha, Half-Orc +1 Str, Human floating +1, Gnome +1 ?; Dragonborn +1 Con; Tiefling +1 ? )
 



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