# Tunnels

Mice had built an underground house consisting of chambers and tunnels:

• each tunnel leading from the chamber to the chamber (none is blind)
• from each chamber lead just three tunnels into three distinct chambers,
• from each chamber mice can get to any other chamber,
• in the house is just one tunnel such that the it burying house divided into two separate parts.

How many chambers could at least have a mouse house? Sketch how chambers can be interconnected....

Result

n =  10

#### Solution:

$n=2 \cdot \ 5=10$

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