Discrete Structures Final Exam Questions and Answers 100% Solved
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Course
Discrete
Institution
Discrete
Discrete Structures Final Exam
Questions and Answers 100% Solved
How many relations are there on a set |n| ? - 2^(n^2) relations
out degree - # of things 'a' relates to (# of 1's in the row of the matrix)
in degree - # of things that relate to 'a' (# of 1's in the column of the
matrix)
cycle ...
equivalence class - ✔✔an equivalence class is part of an equivalence
relation. If the relation was people are related if they are sitting in the same
row, all of the people in one row would be an equivalence class
closure - ✔✔the smallest possible addition to a relation in order to achieve
desired properties (i.e. the smallest amount of elements you could add to a
relation to make it reflexive)
everywhere defined - ✔✔-Dom(f) = A
-every element in the domain has at least one corresponding element in the
range
surjective - ✔✔Ran(f) = B
-for every element in the range, there is at least one corresponding element
in the domain
injective - ✔✔for every element in the range, there is exactly one
corresponding element in the domain.
bijection - ✔✔a function that is both surjective and injective
permutation - ✔✔a bijection from a set to itself
ex.
123456
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