18 Choose 8
Combination Calculator
What is 18 choose 8?
Answer
18 choose 8 is
43,758
Order doesn't matter, no repeats: 43,758 ways to choose 8 of 18 items.
C(18, 8) = 18! / (8! · 10!)
= (18 × 17 × 16 × … × 11) / (8 × 7 × 6 × … × 1)
8 factors on top and bottom
= 1,764,322,560 / 40,320
= 43,758
If order matters (permutations): P(18, 8) = 18 × 17 × 16 × … × 11 = 1,764,322,560 — each combination in 8! = 40,320 orders.
| 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.
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/18--8">18 Choose 8: Combinations C(18, 8) - Calculatio</a>Facebook
Twitter
Telegram
WhatsApp
Viber
Email
