Find the answer to each of the following by first reducing the fractions as much as possible: a) P(17,8)= b) C(19,15)= Full explanation please - I am teaching myself statistics to complete a pre req

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Find the answer to each of the following by first reducing the fractions as much as possible:

a) P(17,8)=


b) C(19,15)=


Full explanation please - I am teaching myself statistics to complete a pre req for nursing school

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I suppose my issue is understanding factorials.

I have not been in school for a very long time. 

C(19,15)= 19!/15!(19-15)!

=19×18×17×16×15!/15!×4!

=3876

how did we arrive at the conclusion? 

If you could break this down further I would greatly appreciate it 



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