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Permutation is the act of arranging objects or values in a specific order, while combination is the act of selecting objects or values without considering the order in which they are chosen.
The number of permutations can be calculated using the formula nPr = n! / (n-r)! where n is the total number of objects and r is the number of objects being chosen. The number of combinations can be calculated using the formula nCr = n! / (r!(n-r)!).
Yes, permutations and combinations are used in various real-life situations such as probability, counting methods, and genetics, among others.
Permutation with repetition allows for the same object or value to be chosen more than once, while combination with repetition does not allow for repetition.
Permutations and combinations can be used to solve problems involving counting, probability, and arranging or selecting objects or values in a specific way. They can also be used to solve problems in genetics, finance, and other fields.