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A committee consists of 9 experts taken from three institutions A,B and C,of which 2 are from A,3 from B and $ from C.If three experts resign,then the probability that they belong to different institutions is

A committee consists of 9 experts taken from three institutions A,B and C,of which 2 are from A,3 from B and $ from C.If three experts resign,then the probability that they belong to different institutions is

Grade:12

1 Answers

sudhir pal
askIITians Faculty 26 Points
7 years ago
probability that they belong to different institutions =
1-probability thatbelong to same institution
no of ways so that they belong to same institutions =5
total no of ways = 84
probability thatbelong to same institution = 5/84
probability that they belong to different institutions =
1- 5/84 = 79/84
attaching solution
(answer would have been different if all three are from different institution in that question no of ways would have been 24 & answer : 24/84 = 2/7)

Thanks & Regards
Sudhir,
askIITians Faculty
Qualification.
IIT Delhi
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