The method of markers is a way to fairly divide items among players. Based on the diagram, the items are marked with arrows by players A, B, and C, indicating their divisions.

From the image:

1. Which player receives item 1?

   • Player A receives item 1. (Since $A_1$ marks the beginning of A's section.)

2. Which player receives item 5?

   • Player C receives item 5. (The section between $C_1$ and $A_2$ belongs to C.)

3. Which player receives item 11?

   • Player B receives item 11. (Since $B_2$ ends the section for B, starting with 8.)

4. Which items are left over?

   • Items 8, 9, 10, 11, and 12 are taken by player B, so no items are left over in that group.

Therefore, the correct answers should be:

1. Player A for item 1.
2. Player C for item 5.
3. Player B for item 11.
4. No items are left over (none of the options fit precisely, but items 5, 6, and 7 seem plausible based on gaps between sections).

Let me know if you'd like any further details or explanations!

Here are 5 additional questions related to the method of markers:

1. What is the purpose of using the method of markers in asset division?
2. How does the placement of markers affect the division of assets?
3. What happens if two players place markers on the same item?
4. How could this method be modified for an unequal number of items?
5. How does the fairness of this method compare to other division techniques?

Tip: In the method of markers, each player's section is typically determined by their first and second marker, defining the items they "claim."