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September 7th, 2015, 06:56 PM  #1 
Newbie Joined: Sep 2015 From: Canada Posts: 11 Thanks: 0  Please help, easy yet tricky question
A high profile business advertises six new positions with the company. A group of six new graduates from Harvard all apply. If 49 people apply for the jobs, what is the probability that all 6 are hired? if you can answer this for me it'll be great. We did it in class but I still don't understand it.. 
September 7th, 2015, 08:51 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 18,444 Thanks: 1462 
Can you post the notation used in class for the answer and what exactly you didn't understand?

September 7th, 2015, 10:06 PM  #3 
Senior Member Joined: Sep 2015 From: 4th Dimension Posts: 146 Thanks: 13 Math Focus: Everything (a little bit) 
See the probability that one out of six gets selected (1st selection) =6/49 (1) 2nd from the six is =5/48 (as one candidate has been selected , so 5 remain among six, and 48 among all) (2) 3rd (4/47) (3) 4th (3/46) (4) 5th (2/45) (5) 6th (1/44) (6) To satisfy all 6 conditions probability = (1)*(2)*(3)*(4)*(5)*(6)=(1×2×3×4×5×6)/(49×48×47×46×45×44) =6!×43!/49! 

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