Define domains and ranges of these functions. For example, the domain/codomain of n? function that takes an integer number and returns its squared value is defined as n: Z-> N°, where z is a set of integers and N° is natural numbers with 0. a. A function f that computes the next largest integer for a given integer. b. A function g that determines for each pair of integers its greatest common divider. A function h that returns a cardinality of a set of integers. C.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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