Question

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. How many different working groups of five can the boss choose?

Answer 1

Answer: 792

Step-by-step explanation:

Given : 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.

The combination of n thing taking m at a time is given by :-

$C(n;m)=\dfrac{n!}{m!(n-m)!}$

Then, the number of different working groups of five the boss can choose :-

$C(12;5)=\dfrac{12!}{5!(12-5)!}\\\\=792$

Hence, the number of different working groups of five the boss can choose = 792.