3.There are 12 equally qualified people applying for a job. Five will be selected for an interview. How many different combinations of five people can be interviewed?

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Jun 2nd, 2015

We assume that the job vacancy is 1 of the 12, and there are
11 non-job vacancy.
We can choose for interview in 5 ways.
For each of those 5 ways to choose for the interview, we can arrange
the other 11 people in the 11 non-job vacancy in 11! ways.
Answer: 5×11! = 5×39916800 = 199584000 ways