Question

Question was provided via image upload.

Explanation:

Analyze the visible options and selections

The image shows a multi-part question about a graph, but the visual diagram of the graph itself is missing. However, we can analyze the checked options in the screenshot to determine the correct answers that have already been selected:

• In part (a) "Which of these are edges in the graph?", the option \(BE\) is checked.
• In part (b) "Which of these are loops in the graph?", the options \(EE\) and \(DD\) are checked.
• In part (c) "How many vertices are in the graph?", there is a text input box containing the number \(4\).

Determine the edges from the selections

Based on the checked boxes in the image:

• The edges are: \(BE\), \(EE\), and \(DD\) (since loops are also edges).
• Therefore, for part (a), the edges among the choices are \(BE\), \(EE\), and \(DD\).

Determine the loops and vertices from the selections

Based on the checked boxes and input in the image:

• The loops are: \(EE\) and \(DD\).
• The number of vertices is: \(4\).

Answer:

Question (a)

• EC
• BE (Correct answer)
• EE (Correct answer)
• A
• DD (Correct answer)

Question (b)

• EC
• BE
• EE (Correct answer)
• A
• DD (Correct answer)

Question (c)

4