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

Question

sudhir pal · Answer

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,

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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

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