Hugo and viviana work in an office with ten other coworkers. out of these 12 workers, their boss needs to choose a group of five to work together on a project. suppose hugo and viviana absolutely refuse, under any circumstances, to work together. under this restriction, how many different working groups of five can be formed?

There are 252 different working groups of five that can be formed.

Step-by-step explanation:

Since we have given that

Number of workers = 12

Number of group of people to work together on a project = 5

Since  Hugo and Viviana absolutely refuse, under any circumstances, to work together.

So, remaining number of workers = 12-2=10

so, we need to find the number of different groups of five that can be formed.

We will use "Combination":

Hence, there are 252 different working groups of five that can be formed.

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length