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)(500P400)(/500P100))(1/400P300)

 Jun 15, 2018
 #1
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If this is what you mean, then:

(500 nPr 400)/(500 nPr 100)*(1/400 nPr 300) =1

 

simplify | ((500!)/((500 - 400)!))/((500!)/((500 - 100)!))×1/((400!)/((400 - 300)!))
=(500!/(500-400)! x (500-100)!/500!=(100!*400!) * 1/(400!)*(100!)
=(100!*400!) / (100!*400!) =1

 Jun 15, 2018
edited by Guest  Jun 15, 2018

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