Combinations Calculator
Calculate simple combinations C(n,p).
What is Combination in mathematics?
In combinatorial analysis, theSimple Combinationrepresents the number of possible ways we can select a subgroup of items from a larger group, wherethe order of the choices does not matter.
Example of Combination: Lottery
Imagine Mega-Sena: there are 60 available numbers (n) and you must choose 6 numbers (p) to make a game. It does not matter the order in which you choose or in which the numbers are drawn (e.g., choosing 5 and 10 is exactly the same as choosing 10 and 5). When we calculate C(60, 6) on a calculator, we find that there are an impressive 50,063,860 unique combinations!
What is the difference from Permutation?
Remember the golden rule: in a Combination, the order does NOT matter. In a Permutation (Arrangement), the order DOES matter. If you need to create a 3-digit safe password using 10 different buttons, the order you press them matters a lot (1-2-3 opens the safe, 3-2-1 does not). In this case, it would be a permutation calculation, not a combination.