How Many Poker Hands Are There? (Combos and Combinations)
There are exactly 2,598,960 unique 5-card poker hands when drawing from a standard 52-card deck. In Texas Hold'em, there are 1,326 unique 2-card starting hands, but only 169 unique 'hand classes' when you ignore suit symmetry (because spades and hearts behave the same preflop). The 169-hand grid is what you see on any preflop chart.
Total 5-card poker hands
The math: from a 52-card deck, choose 5 cards. C(52,5) = 52! / (5! × 47!) = 2,598,960 total possible 5-card hands.
- •Royal Flush: 4 (one per suit). Probability: 0.000154%.
- •Straight Flush (excl. royals): 36. Probability: 0.00139%.
- •Four of a Kind: 624. Probability: 0.024%.
- •Full House: 3,744. Probability: 0.144%.
- •Flush (non-straight): 5,108. Probability: 0.197%.
- •Straight (non-flush): 10,200. Probability: 0.392%.
- •Three of a Kind: 54,912. Probability: 2.11%.
- •Two Pair: 123,552. Probability: 4.75%.
- •One Pair: 1,098,240. Probability: 42.26%.
- •High Card: 1,302,540. Probability: 50.12%.
Texas Hold'em starting hands: 1,326 vs 169
The math splits two ways depending on whether you care about suits:
- •Unique 2-card combinations (suit-aware): C(52,2) = 1,326 distinct combinations.
- •Unique hand classes (suit-symmetric): 169. Because the suits are symmetric preflop, AsKh and AhKs are functionally identical.
- •The 169 breakdown: 13 pocket pairs (AA, KK, ..., 22) + 78 suited combos + 78 offsuit combos = 169.
How many combos of each starting hand?
When counting combinations of a specific hand class:
- •Each pocket pair: 6 combinations (e.g. AA = AsAh, AsAd, AsAc, AhAd, AhAc, AdAc).
- •Each suited hand: 4 combinations (one per suit; e.g. AKs = AsKs, AhKh, AdKd, AcKc).
- •Each offsuit hand: 12 combinations (4 × 3, picking different suits for each card).
- •Total check: 13 × 6 + 78 × 4 + 78 × 12 = 78 + 312 + 936 = 1,326 ✓
Why the 169 grid matters for strategy
Modern preflop charts represent the 13×13 grid of hand classes — 13 ranks × 13 ranks, with the upper-right being suited hands and lower-left being offsuit hands (or vice versa, depending on chart convention). Every preflop study tool uses this grid because:
- •All combinations within a class behave identically preflop (suits are symmetric)
- •169 is small enough to memorize ranges from
- •Equity calculations only need to be done once per class, not per combination
Related tools
Frequently asked
Are there really only 169 starting hands?
169 hand CLASSES, but 1,326 unique combinations. The 169 number is what matters for strategy because suits are symmetric preflop. AsKs and AhKh have identical equity preflop and play identically, so we treat them as one class: AKs.
How many combinations of pocket aces are there?
Six. The four aces (As, Ah, Ad, Ac) can pair in C(4,2) = 6 ways: AsAh, AsAd, AsAc, AhAd, AhAc, AdAc. This is why pocket pairs are 'rare' — only 6 of 1,326 combinations (0.45%) are any specific pair.
How many combos of AKs vs AKo?
AKs (suited) has 4 combinations — one per suit. AKo (offsuit) has 12 combinations — 4 × 3 = 12 ways to pick different suits for each card. So AK total has 16 combos, of which 4 are suited and 12 are offsuit. AKo is 3x more frequent in your range than AKs.
What's the rarest 5-card hand?
The Royal Flush — only 4 specific hands out of 2.6 million possible 5-card hands. Probability: 1 in 649,740. You'll see one in a casino about once per 10,000 hands of poker. The Straight Flush below A-K-Q-J-10 is also rare: 36 specific hands, or 1 in 72,193.
How many hands are dealt in poker per hour?
Online: 60-100 hands per hour at a 6-max table. Live: 25-35 hands per hour. So a 4-hour online session = 240-400 hands. To get a meaningful sample size for win-rate analysis, you need at least 20,000 hands — about 50-100 hours of online play.
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