Combinations (n choose r): 10 n n; 3 r r
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10 n n; 3 r r converts to
120 Combination Count
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Value Details
Input: 10 n n; 3 r r
Output: 120 Combination Count
Combinations (n choose r)
Calculate the number of combinations using nCr for integers with 0 ≤ r ≤ n ≤ 18.
Calculated Result
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Nearby Reference Values
| Scenario | nCr |
|---|---|
| 9 n n; 8 r r | 9 Combination Count |
| 9 n n; 9 r r | 1 Combination Count |
| 10 n n; 0 r r | 1 Combination Count |
| 10 n n; 1 r r | 10 Combination Count |
| 10 n n; 2 r r | 45 Combination Count |
| 10 n n; 3 r r | 120 Combination Count |
| 10 n n; 4 r r | 210 Combination Count |
| 10 n n; 5 r r | 252 Combination Count |
| 10 n n; 6 r r | 210 Combination Count |
| 10 n n; 9 r r | 10 Combination Count |
| 10 n n; 10 r r | 1 Combination Count |
Frequently Asked Questions
Common questions about Combinations (n choose r), formulas, and expected usage.
What does the Combinations (n choose r) calculator do?
It helps with counting selections where order does not matter in combinatorics and probability.
What formula does the Combinations (n choose r) calculator use?
nCr = n! / (r!(n-r)!), computed iteratively for stable exact integer results in range.
What inputs are valid?
n and r must be integers with 0 ≤ r ≤ n ≤ 18.
When would I use this?
counting selections where order does not matter in combinatorics and probability
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