One reason Omaha is so much harder than Hold'em is simple: the number of starting hands explodes. Here is the exact count.
| Variant | Cards in hand | Possible starting hands | Formula |
|---|---|---|---|
| Texas Hold'em | 2 | 1,326 | C(52,2) |
| PLO4 | 4 | 270,725 | C(52,4) |
| PLO5 | 5 | 2,598,960 | C(52,5) |
| PLO6 | 6 | 20,358,520 | C(52,6) |
From Hold'em to PLO6, the number of starting hands grows
more than 15,000×.
It does not stop there: evaluating a hand also explodes
In PLO you must use exactly 2 cards from your hand + 3 from the board. So on every flop, the number of combinations the engine has to evaluate per hand grows with the cards:
| Variant | Combinations per hand, on the flop | Count |
|---|---|---|
| PLO4 | 60 | C(4,2) × C(5,3) = 6 × 10 |
| PLO5 | 100 | C(5,2) × C(5,3) = 10 × 10 |
| PLO6 | 150 | C(6,2) × C(5,3) = 15 × 10 |
This is why “memorizing” fails — understanding patterns works
With over 20 million hands, no player memorizes rankings. What works is the engine reducing everything to suit-symmetry classes, keeping the number manageable:
| Variant | Raw hands | Classes (suit symmetry) | Reduction |
|---|---|---|---|
| PLO4 | 270,725 | 16,432 | ~16× |
| PLO5 | 2,598,960 | 134,459 | ~19× |
| PLO6 | 20,358,520 | 962,988 | ~21× |
Class counts come from the engine (read from each ranking's real metadata). Raw hands and combinations per flop are exact (pure combinatorics).