A Miniou circuit contains nodes and wires and obeys the following rules:

- Each wire connects two different nodes.
- There is at most one wire between each pair of nodes.
- Exactly three wires are connected to each node.

An example of a Miniou circuit is shown. If a Miniou circuit has 13788 wires, how many nodes does it have?
(A) 9190
(B) 9192
(C) 9188
(D) 9186
(E) 9184

![](https://cdn.mathpix.com/cropped/2024_04_20_6ed09463f225f8ba1f07g-035.jpg?height=528&width=401&top_left_y=259&top_left_x=1315)
Each wire has 2 ends.

Thus, 13788 wires have $13788 \times 2=27576$ ends.

In a Miniou circuit, there are 3 wires connected to each node.

This means that 3 wire ends arrive at each node, and so there are $27576 \div 3=9192$ nodes.

ANSWER: (B)