🔢 Combinations (nCr)
💡 Combinations: Order doesn't matter. Formula: nCr = n! / (r! × (n-r)!)
Combinations (nCr)
0
Total (n)
0
Choose (r)
0
Formula
nCr
Order Matters?
No
📐 Formula:
nCr = n! / (r! × (n-r)!)
-
Calculation Steps:
Real-World Example:
🔄 Permutations (nPr)
💡 Permutations: Order matters. Formula: nPr = n! / (n-r)!
Permutations (nPr)
0
Total (n)
0
Arrange (r)
0
Formula
nPr
Order Matters?
Yes
📐 Formula:
nPr = n! / (n-r)!
-
Calculation Steps:
Real-World Example:
❗ Factorial Calculator
💡 Factorial: n! = n × (n-1) × (n-2) × ... × 2 × 1. Example: 5! = 5×4×3×2×1 = 120
Factorial (n!)
0
Number (n)
0
Factorial (n!)
0
Digits Count
0
Trailing Zeros
0
📐 Factorial Properties:
n! = n × (n-1)!
0! = 1 (by definition)
1! = 1
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Calculation:
⚖️ Compare nCr vs nPr
💡 Compare combinations and permutations side-by-side
nCr (Combinations)
0
nPr (Permutations)
0
Ratio (nPr/nCr)
0
Difference
0
r! (multiplier)
0
Verification
-
📐 Key Relationship:
nPr = nCr × r!
Permutations = Combinations × r!
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Comparison Analysis:
🎯 Real-World Applications
💡 Solve practical problems using combinations and permutations
Total Possibilities
0
Value 1
0
Value 2
0
Method
-
Probability
-
Problem Solution:
Interpretation:
