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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?

Respuesta :

JeanaShupp

Answer:  330

Step-by-step 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 :-

[tex]^{11}C_4=\dfrac{11!}{4!(11-4)!}\\\\=\dfrac{11\times`0\times9\times8\times7}{4!7!}\\\\=330[/tex]

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

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