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September 7th, 2015, 05:56 PM   #1
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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..
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September 7th, 2015, 07:51 PM   #2
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Can you post the notation used in class for the answer and what exactly you didn't understand?
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September 7th, 2015, 09:06 PM   #3
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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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