Combination
Selection of groups when the order does not matter
Combination is a mathematical concept that refers to the number of ways we can choose or select a group of objects or elements from a larger set without considering the order of selection.
The key difference between combination and permutation is that in permutation, the order of selection matters, while in combination, the order of selection is irrelevant.
The formula for calculating the number of combinations is given by:
nCr = n! / (r!(n-r)!)
Where n is the total number of objects, r is the number of objects to be selected, and ! represents the factorial function.
For example, if we want to select 3 objects from a set of 5, we would use the formula:
5C3 = 5!/ (3!(5-3)!) = 10
This means there are 10 possible combinations of selecting 3 objects from a set of 5. Some examples of combinations could include selecting 3 players from 5 to form a team or selecting 3 colors from a palette of 5 for a painting project.
Combinations are used in various fields such as probability, statistics, and computer science. In probability, combinations are used to calculate the likelihood of different outcomes in a given scenario. In computer science, combinations are used in algorithms that involve selection or grouping of data.
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