🔢 Combination Calculator
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📌 Understanding Combination Calculation
A combination represents the selection of objects without considering order. The formula is:
- C(n, r) = n! / (r!(n-r)!)
- Where n is the total number of items and r is the number of selected items.
📌 Example Calculations
| n | r | C(n, r) |
|---|---|---|
| 5 | 2 | 10 |
| 6 | 3 | 20 |
| 8 | 4 | 70 |
🔧 Practical Applications of Combinations
1. Probability & Statistics: Used to calculate possible selections in probability theory.
2. Lottery & Gambling: Determines possible outcomes in games of chance.
3. Team Selection: Used to form teams or groups from a larger set.
❓ FAQs
Q1: How do I calculate combinations?
✅ Use the formula C(n, r) = n! / (r!(n-r)!)
Q2: What is the difference between permutations and combinations?
✅ Permutations consider order, while combinations do not.
Q3: Can combinations be applied to real-world problems?
✅ Yes, they are widely used in **probability, team selection, and data analysis**.