Probability and Statistics Basic Probability and Statistics Math Forum

 September 7th, 2015, 05:56 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, 07:51 PM #2 Global Moderator   Joined: Dec 2006 Posts: 18,962 Thanks: 1606 Can you post the notation used in class for the answer and what exactly you didn't understand?
 September 7th, 2015, 09:06 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! Thanks from Country Boy and shoukatmontoo

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