19 Choose 12
Combination Calculator
What is 19 choose 12?
Answer
19 choose 12 is
50,388
Order doesn't matter, no repeats: 50,388 ways to choose 12 of 19 items.
Choosing 12 of 19 is the same as leaving 7 out: C(19, 12) = C(19, 7).
C(19, 12) = 19! / (12! · 7!)
= C(19, 7)
= (19 × 18 × 17 × … × 13) / (7 × 6 × 5 × … × 1)
7 factors on top and bottom
= 253,955,520 / 5,040
= 50,388
If order matters (permutations): P(19, 12) = 19 × 18 × 17 × … × 8 = 24,
| 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.
Found an error in the calculation or the information?
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
Share This Calculation
Print
<a href="https://calculat.io/en/number/combinations/19--12">19 Choose 12: Combinations C(19, 12) - Calculatio</a>Facebook
Twitter
Telegram
WhatsApp
Viber
Email
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 |