Question

Hugo and Viviana work in an office with nine other coworkers. Out of these 11 workers, their boss needs to choose a group of four to work together on a project How many different working groups of four can the boss choose?

Answer 1

Answer: 330

Explanation:

Given : The total number of workers in the office = 11

The number of workers the boss needed to choose = 4

Now, the number of different working groups of four chose by the boss :-

`^(11)C_4=(11!)/(4!(11-4)!)\\\\=(11*`0*9*8*7)/(4!7!)\\\\=330`

Hence, the total number of different working groups of four chose by the boss = 330