Question

An office has 8 rooms, and it is necessary to connect every room to every other room with a direct wire connection. How many connections need to be installed?

Answer 1

To calculate the number of connections needed to connect every room to every other room in an office with 8 rooms, you can use the formula for combinations:

Number of connections = n(n - 1) / 2

Where n is the number of rooms.

In this case, n = 8:

• Number of connections = 8(8 - 1) / 2
• Number of connections = 8 * 7 / 2
• Number of connections = 56 / 2
• Number of connections = 28

So, you would need to install 28 connections to connect every room to every other room in the office.