mathematics Verified Precision Tool
Combination Calculator
Calculate nCr combinations where item order does not matter.
Calculation Solution
100C150 = 0
Combinations (Order Ignored)
Mathematical Formula
nCr = n! / (r! * (n - r)!)
Overview & Explanation
A combination is a selection of items from a set where the order of selection does not matter.
How It Works
- Compute n factorial divided by r factorial times (n - r) factorial.
Practical Applications
- Lottery ticket selections.
- Forming team committees.
Worked Example: 5C3
Choose 3 items out of 5.
1
Apply Formula 5! / (3! * 2!)
120 / (6 * 2)
= 10
Frequently Asked Questions
Why is nCr smaller than nPr for the same n and r?
Because combinations ignore order, grouping identical item selections together.
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