14 Choose 8
Combination Calculator
What is 14 choose 8?
Answer
14 choose 8 is
3,003
Order doesn't matter, no repeats: 3,003 ways to choose 8 of 14 items.
Choosing 8 of 14 is the same as leaving 6 out: C(14, 8) = C(14, 6).
C(14, 8) = 14! / (8! · 6!)
= C(14, 6)
= (14 × 13 × 12 × 11 × 10 × 9) / (6 × 5 × 4 × 3 × 2 × 1)
= 2,162,160 / 720
= 3,003
If order matters (permutations): P(14, 8) = 14 × 13 × 12 × … × 7 = 121,080,960 — each combination in 8! = 40,320 orders.
| k | 14 choose k |
|---|---|
| 0 | 1 |
| 1 | 14 |
| 2 | 91 |
| 3 | 364 |
| 4 | 1,001 |
| 5 | 2,002 |
| 6 | 3,003 |
| 7 | 3,432 |
| 8 | 3,003 |
| 9 | 2,002 |
| 10 | 1,001 |
| 11 | 364 |
| 12 | 91 |
| 13 | 14 |
| 14 | 1 |
Row sum: 214 = 16,384 — all subsets of 14 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/14--8">14 Choose 8: Combinations C(14, 8) - Calculatio</a>Facebook
Twitter
Telegram
WhatsApp
Viber
Email
