variations of things

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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? 

Jun 2nd, 2015

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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


Jun 2nd, 2015

i dont understand the work?


Jun 2nd, 2015

i dont understand the work?


Jun 2nd, 2015

This means that there is 1 job seat and 12 person qualified for interview, so 11 of these shall not get this job. so 11! shall be multiplied with 5.


Jun 2nd, 2015

but how did you get the large number?


Jun 2nd, 2015

11! = 11 x 10 x9 x8x7x6x5x4x3x2x1

Jun 2nd, 2015

ahhh thank you!!!!!

Jun 2nd, 2015

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Jun 2nd, 2015
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Jun 2nd, 2015
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