# 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:

Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

## Next similar examples:

1. Three numbers
We have three different non-zero digits. We will create all 3 digits numbers from them to use all 3 figures in each number. We add all the created numbers, and we get the sum of 1554. What were the numbers?
2. Triangle 42
Triangle BCA. Angles A=119° B=(3y+14) C=4y. What is measure of triangle BCA=?
3. Jane plants
Jane plants flowers in the garden. If she planted 12 every hour instead of 9 flowers, she would finish with the job an hour earlier. How many flowers does she plant?
4. Banknotes
Eva deposit 7800 USD in 50 banknotes in the bank. They had value 100 USD and 200 USD. How many were they?
5. Poplar
How tall is a poplar by the river, if we know that 1/5 of its total height is a trunk, 1/10th of the height is the root and 35m from the trunk to the top of the poplar?
6. In the
In the national park, the ratio of the wooded area to grassland is 4: 1. The total area is 385km2. What area is wooded?
7. Average height
The average height of all pupils is 162 cm. The class teacher's height is 178 cm. The average height of all (teacher and all pupils) is 163 cm. Calculate the number of pupils in the class.
8. Pumps
After the floods, four equally powerful pumps exhausted water from the flooded cellar in 6 hours. How many hours would take a drained out with three equally powerful pumps?
9. Round-trip
A woman works at a law firm in city A which is about 50 miles from city B. She must go to the law library in city B to get a document. Find how long it takes her to drive​ round-trip if she averages 40 mph.
10. Wave parameters
Calculate the speed of a wave if the frequency is 336 Hz and the wavelength is 10 m.
11. The painter
In order for the painter to get the desired color, he must mix green and yellow in a ratio of 4: 7. If it has 28 l of green color, how many liters of yellow color should he add? How many liters of mixed color does he get?
12. Diagonals at right angle
In the trapezoid ABCD this is given: AB=12cm CD=4cm And diagonals crossed under a right angle. What is the area of this trapezoid ABCD?
13. Construction of road
For the construction of the road dam, it is supposed to transport six trucks a total of 18 days. After three days, two more cars were sent to the construction site. How long will it take to carry the material?
14. Greg and Bill
Greg is 18 years old. He is 6 less than 4 times Bill's age. How old is Bill?
15. Sum of dividend
If X is divided separately 2.63 and 1.40. And the results of the individual divisions are added to give a result less than X. What is X?
16. Peter and Paul
Peter and Paul together have 26 years. Four years ago, Paul was twice older than Peter. How much is Paul and how much Peter?
17. Tickets
1260 tickets sold. On the first day, 80% was sold on the second day was sold. How many tickets were sold first and how much the next day?