⚡ Factorial Calculator
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📌 Understanding Factorial Calculation
Factorial of a number (n!) is the product of all positive integers from 1 to n. The formula is:
- n! = n × (n-1) × (n-2) × … × 1
- By definition, 0! = 1.
📌 Example Calculations
| Number (n) | Factorial (n!) |
|---|---|
| 3 | 6 |
| 5 | 120 |
| 7 | 5040 |
🔧 Practical Applications of Factorial
1. Mathematics & Combinatorics: Used in permutations and combinations.
2. Computer Science: Important for algorithm design and recursion.
3. Probability & Statistics: Essential in probability calculations and statistical models.
❓ FAQs
Q1: How do I calculate the factorial of a number?
✅ Multiply all positive integers up to the given number.
Q2: What is 0! (zero factorial)?
✅ By definition, 0! = 1.
Q3: Where is factorial calculation commonly used?
✅ It is widely used in **combinatorics, algorithms, and probability theory**.
Q4: Can factorial be calculated for negative numbers?
✅ No, factorial is defined only for non-negative integers.
Q5: Why is factorial important?
✅ It helps in **solving complex mathematical and statistical problems**.