Combinations Calculator
Calculate combinations (nCr) easily online. Understand combinations formula and visualize results. Free combinations calculator for probability and mathematics.
Combinations Calculator
Result:
Number of Combinations (nCr):
This is the number of ways to choose items from items without regard to order.
Visualizing Combinations
Blue circles represent all items (n), and Green circles show the items chosen (r).
Understanding Combinations
In mathematics, a combination is a way of selecting items from a set where the order of selection does not matter. It's about choosing groups, not sequences. The formula for combinations is given by:
nCr = n! / [r! * (n-r)!]
- n is the total number of items in the set.
- r is the number of items to choose from the set.
- ! denotes factorial, the product of all positive integers up to that number.
- nCr represents the number of combinations.
For example, if you have 5 fruits and want to choose 2, the combinations calculator tells you there are 10 ways to do this. This tool is useful in probability, statistics, and various areas of mathematics to count possibilities without worrying about order.
Learn more about combinations on Wikipedia.