A human resource manager has 12 equally qualified applicants to fill a new work group that has three spots. According to company guidelines, if all 12 applicants are equally qualified, she must choose the work group of three completely at random. How many 3 person work groups are possible?

3 person work groups are possible 220

Step-by-step explanation:

Given data

applicants = 12

person = 3

to find out

How many 3 person work groups are possible

solution

3 person work group possibility is 12C3

that is classified as = 12! / 3! 9!

3 person work group possibility = 12 * 11*10 / 3 * 2*1

3 person work group possibility = 220

so 3 person work groups are possible 220