Answer:
1431
Explanation:
The number of unique connections between two phones can be found using the formula for combinations.
Since we want to find the number of ways to choose two phones out of 54 phones, we can use the following formula:
nCk = n! / (k! * (n-k)!)
where n is the total number of phones (54), and k is the number of phones we want to choose (2).
nCk = 54! / (2! * (54-2)!)
= 54! / (2! * 52!)
= (54 * 53) / 2
= 1,431
Therefore, there are 1,431 unique connections that can be made between two phones in the office building.
I swear I hope I did this correctly t-t