Overview
Permutations and inverses are fundamental concepts in mathematics that deal with the arrangement of objects and the reversal of operations. Understanding permutations allows us to calculate the number of ways to arrange items, which is essential in various fields such as cryptography and scheduling....
Key Terms
Example: The arrangements of the letters A, B, and C are ABC, ACB, BAC, BCA, CAB, and CBA.
Example: 5! = 5 × 4 × 3 × 2 × 1 = 120.
Example: The inverse of addition is subtraction.
Example: Choosing 2 fruits from an assortment of 3 (apple, banana, cherry) results in AB, AC, and BC.
Example: In the permutation ABC, the order is A first, B second, C third.
Example: The permutations of the letters A, A, and B are AAB, ABA, and BAA.
Related Topics
Key Concepts
FactorialOrder of elementsInverse operationsCombinatorial counting