| Combination C(n,r) | hesaplanacak |
|---|---|
| Permutation P(n,r) | hesaplanacak |
| Formula (Combination) | hesaplanacak |
| Formula (Permutation) | hesaplanacak |
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Combinations vs Permutations
Both count ways to choose items from a set, but with one key difference: permutations care about order (ABC is different from BAC); combinations do not (ABC and BAC are the same group).
Formulas
Permutations (nPr)
nPr = n! / (n - r)!
How many ways can you arrange r items chosen from n?
Example: 5 people, choose 3 for 1st/2nd/3rd place: 5P3 = 60
Combinations (nCr)
nCr = n! / (r! x (n - r)!)
How many ways can you choose r items from n, ignoring order?
Example: 5 people, choose a team of 3: 5C3 = 10
Practical Examples
- Lottery: Picking 6 numbers from 49 = 49C6 = 13,983,816 combinations
- Committee: Selecting 4 members from 10 = 10C4 = 210 ways
- Passwords: 4-digit PIN from 0–9 = 10P4 = 5,040 (if no repeats)
- Seating: Arranging 5 people at a table = 5! = 120 arrangements
What Is n! (Factorial)?
n! = n x (n-1) x (n-2) x ... x 1
Example: 5! = 5 x 4 x 3 x 2 x 1 = 120. By definition, 0! = 1.
How to Use This Calculator
Using our calculator is simple: enter the required values into the input fields and click the calculate button. Results are displayed instantly on screen. You can adjust the values and recalculate to compare different scenarios and find the best option for your situation.
Frequently Asked Questions
| Question | Answer |
|---|---|
| How accurate are the results? | We use standard formulas and up-to-date 2025 rates. Individual circumstances may vary slightly. |
| Is this calculator free? | Yes, completely free and no registration required. |
| What should I do for exact figures? | For precise information, consult a relevant professional or official authority. |
| Does it work on mobile devices? | Yes, it works seamlessly on all devices and screen sizes. |
Important Notes
This calculator is provided for informational purposes only. For legal, financial, or medical decisions, always seek advice from qualified professionals. Calculation results do not constitute official documents. Legislative changes may affect results; please visit the relevant official website for the most up-to-date information. Our calculators are regularly updated to reflect current regulations and rates.
Related Calculators
Check out our other related calculators on the homepage for similar financial and practical calculations. Using multiple tools together helps you make better-informed decisions. Browse our category pages to discover all available calculators organized by topic.
How to Use This Calculator
Using our calculator is simple: enter the required values into the input fields and click the calculate button. Results are displayed instantly on screen. You can adjust the values and recalculate to compare different scenarios and find the best option for your situation.
Frequently Asked Questions
| Question | Answer |
|---|---|
| How accurate are the results? | We use standard formulas and up-to-date 2025 rates. Individual circumstances may vary slightly. |
| Is this calculator free? | Yes, completely free and no registration required. |
| What should I do for exact figures? | For precise information, consult a relevant professional or official authority. |
| Does it work on mobile devices? | Yes, it works seamlessly on all devices and screen sizes. |
Important Notes
This calculator is provided for informational purposes only. For legal, financial, or medical decisions, always seek advice from qualified professionals. Calculation results do not constitute official documents. Legislative changes may affect results; please visit the relevant official website for the most up-to-date information. Our calculators are regularly updated to reflect current regulations and rates.
Related Calculators
Check out our other related calculators on the homepage for similar financial and practical calculations. Using multiple tools together helps you make better-informed decisions. Browse our category pages to discover all available calculators organized by topic.
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