18 Choose 12
Combination Calculator
What is 18 choose 12?
Answer
18 choose 12 is
18,564
Order doesn't matter, no repeats: 18,564 ways to choose 12 of 18 items.
Choosing 12 of 18 is the same as leaving 6 out: C(18, 12) = C(18, 6).
C(18, 12) = 18! / (12! · 6!)
= C(18, 6)
= (18 × 17 × 16 × 15 × 14 × 13) / (6 × 5 × 4 × 3 × 2 × 1)
= 13,366,080 / 720
= 18,564
If order matters (permutations): P(18, 12) = 18 × 17 × 16 × … × 7 = 8,
| k | 18 choose k |
|---|---|
| 0 | 1 |
| 1 | 18 |
| 2 | 153 |
| 3 | 816 |
| 4 | 3,060 |
| 5 | 8,568 |
| 6 | 18,564 |
| 7 | 31,824 |
| 8 | 43,758 |
| 9 | 48,620 |
| 10 | 43,758 |
| 11 | 31,824 |
| 12 | 18,564 |
| 13 | 8,568 |
| 14 | 3,060 |
| 15 | 816 |
| 16 | 153 |
| 17 | 18 |
| 18 | 1 |
Row sum: 218 = 262,144 — all subsets of 18 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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<a href="https://calculat.io/en/number/combinations/18--12">18 Choose 12: Combinations C(18, 12) - Calculatio</a>Facebook
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n choose 12 for other n
| n choose 12 | Answer |
|---|---|
| 12 choose 12 | 1 |
| 13 choose 12 | 13 |
| 14 choose 12 | 91 |
| 15 choose 12 | 455 |
| 16 choose 12 | 1,820 |
| 17 choose 12 | 6,188 |
| 18 choose 12 | 18,564 |
| 19 choose 12 | 50,388 |
| 20 choose 12 | 125,970 |