52 Choose 5 — What is 52C5?
52C5 equals 2,598,960 — the total number of unique 5-card poker hands from a standard 52-card deck.
How to use this tool
- Enter n (total items) and r (items chosen) in the fields above.
- Results update instantly as you type — or click Calculate.
- Read your ncr and the full breakdown beneath it.
Find how many distinct 5-card hands are possible from a standard deck using the combination formula 52C5.
Frequently asked questions
- What is a combination?
- A combination is an unordered selection. nCr = n!/(r!(n-r)!). For example, C(5,2) = 10 — choosing 2 from 5 ignoring order.