19 Choose 8
Combination Calculator
What is 19 choose 8?
Answer
19 choose 8 is
75,582
Order doesn't matter, no repeats: 75,582 ways to choose 8 of 19 items.
C(19, 8) = 19! / (8! · 11!)
= (19 × 18 × 17 × … × 12) / (8 × 7 × 6 × … × 1)
8 factors on top and bottom
= 3,047,466,240 / 40,320
= 75,582
If order matters (permutations): P(19, 8) = 19 × 18 × 17 × … × 12 = 3,047,466,240 — each combination in 8! = 40,320 orders.
| k | 19 choose k |
|---|---|
| 0 | 1 |
| 1 | 19 |
| 2 | 171 |
| 3 | 969 |
| 4 | 3,876 |
| 5 | 11,628 |
| 6 | 27,132 |
| 7 | 50,388 |
| 8 | 75,582 |
| 9 | 92,378 |
| 10 | 92,378 |
| 11 | 75,582 |
| 12 | 50,388 |
| 13 | 27,132 |
| 14 | 11,628 |
| 15 | 3,876 |
| 16 | 969 |
| 17 | 171 |
| 18 | 19 |
| 19 | 1 |
Row sum: 219 = 524,288 — all subsets of 19 items.
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See Also
- Random Number Generator - Pick a random whole number between two bounds
- Percent to Probability Converter - Convert Percents to "1 in X" Probability Chance
- Factors of a Number - List all Factors and Factor Pairs of a Number
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