C(52, 5)
= 2598960
Counts unordered five-card hands from a standard 52-card deck.
Large Number Combinations Calculator (nCr)
Calculate exact nCr combinations for large whole numbers. Count selections where order does not matter.
How this calculation works
C(n, r) counts selections of r items from n distinct items without replacement. Rearranging the same selected items does not create another combination. The identity C(n, r) = C(n, n − r) gives equal answers on both sides.
Inputs and accuracy
Enter n first and r second, using non-negative whole numbers with r ≤ n. The calculator applies workload limits to protect the browser during large combinatorial calculations.
When to use it
Count card hands, committee selections, and unordered samples. This formula assumes items are distinct and no item is selected more than once.
Worked examples
C(10, 3)
= 120
Order does not distinguish selections of the same three items.
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