What is Lottery & Game Odds (Combinations)?
Combinations calculator (Order doesn't matter).
How it Works
nCr = n! / (r! * (n-r)!).
Step-by-Step Guide
- 1 Total Pool (n)
- Total balls/cards.
- 2 Selection (r)
- Items to pick.
- 3 Result
- Total possibilities.
Example
Input: 52 cards, pick 5
Result: 2,598,960 hands
FAQ
Does order matter?
No, that's Permutation. In Lotto, order doesn't matter.
What is n!?
Factorial (e.g., 5! = 5*4*3*2*1).
Odds vs Probability?
Probability is 1-in-X. Odds are Win:Loss.
Replacement?
This assumes no replacement (once a ball is picked, it's out).
Poker hand?
52 choose 5.
Conclusion
Use this to understand the astronomical odds against winning lotteries or specific poker hands.