How many immediate predecessors does A have?

Question

BlackTom AI · Accepted Answer

This question asks: 'How many immediate predecessors does A have?' but no diagram or relation data is provided.

To determine the number of immediate predecessors (elements directly below A in a Hasse diagram, i.e., elements B where B < A and no C exists with B < C < A), we need the specific partial order or diagram that shows how A relates to other elements.

Without that context, every option could be possible depending on the structure around A. Here are the considerations for each option:

- None: This would be correct only if there are no elements less than A that are directly covered by A, i.e., A is minimal among the elements under consideration or there is no edge from any element to A. In most nontrivial posets, this is unlikely unless A is a minimal element and there are no predecessors.
- One: This would be correct if exactly one element B satisfies B < A and there is no C with B < C < A. We would need to see a single edge into A with no intermediate elements.
- Two: This would be correct if there are exactly two elements B1 and B2 such that each is directly below A with no intermediates, and there are no other elements directly preceding A.
- Three: Similar logic for three immediate predecessors; three distinct elements directly below A with no intermediate elements between them and A.
- Four: Likewise, four immediate predecessors would require four such direct predecessors and no others.

In summary, determining the correct option requires inspecting the specific relation data or the Hasse diagram that defines which elements are less than A and which of those are immediate predecessors. Without that information, selecting among the options would be speculative and prone to misconception.

If you provide the diagram or the relation list (which elements cover A or which elements are directly below A), I can walk through exactly how many immediate predecessors A has and justify the chosen option step by step.

How many immediate predecessors does A have?

View Explanation

Log in for full answers

Similar Questions

GRAPH ADT Question 3: Directed graph below shows us that origin u : is PVD destination v is ORD

Assume we have a directed graph G; and the graph H is the same graph without the directions (if u is connected to v in G, then v is connected to u in H as well as u to v). Which of these statements are true?

For the following graph data structure select the correct statements

Which of the following are trails in the above graph? (check all that apply)

A graph that has no cycles is called acyclic

In a consumer society, many adults channel creativity into buying things

Economic stress and unpredictable times have resulted in a booming industry for self-help products

People born without creativity never can develop it

More Practical Tools for Students Powered by AI Study Helper

Homework AI Solver

Stylized AI Paper Writer

Plagiarism Checker Assistant

Citation AI Academic Writing Tool

In-Class Translation Assistant

AI Note Generator

AI Quiz Answers

Past Exam Questions from University Test Bank

Smart Practice Assistant

Adaptive Practice

Making Your Study Simpler