Answer:
Step-by-step explanation:
To ensure that it is possible to go to any house from any house in a city with 20 houses using paths, you need to create a direct path between each pair of houses. This means that for each house, there should be a direct route to every other house.
In a city with 20 houses, if you want to create a direct path between each pair of houses, you can use the concept of combinations. The formula for finding the number of paths needed is:
Number of paths = nC2
Where:
n is the total number of houses (20 in this case).
C2 represents "combinations of 2," which calculates the number of ways to choose 2 houses out of the total.
So, for a city with 20 houses:
Number of paths = 20C2 = (20 * 19) / (2 * 1) = 190 paths
You would need to create at least 190 paths in the city to ensure that it is possible to go to any house from any house.
