There are 120 possible unordered selections.
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Probability and Combinations Calculator
Choose whether order matters, or calculate a simple favourable-outcome probability.
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No account. Formula and assumptions are shown below.
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Probability & combinations details
Formula & disclaimer
Combinations = n! Γ· (r! Γ (n β r)!); Permutations = n! Γ· (n β r)!; Probability = Favourable Γ· Total
View assumptionsFormula reviewCalcs at Hand Editorial TeamVerified 29 August 2026 Β· automated checks included
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Projection
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Formula & details
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How to read this result
Three useful checks, kept deliberately short.
Choose three items from ten where order does not matter: Select combinations Β· Use n = 10 and r = 3 Β· Apply the nCr formula.
The simple probability mode assumes equally likely outcomes.
Formula and assumptions
Combinations = n! Γ· (r! Γ (n β r)!); Permutations = n! Γ· (n β r)!; Probability = Favourable Γ· TotalCombinations ignore order while permutations count different orders.
Keep in mind: More advanced dependent or conditional probability needs a model that reflects the event structure.
Produced byCalcs at Hand Editorial Team
Last formula check29 August 2026
Review methodKnown examples + boundary cases
Editorial and correction policy β