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Let S be the sample space and E be the event of selecting 1 girl and 2 boys.

Then, n(S)= Number ways of selecting 3 students out of 25= 25C3 `=(25 x 24 x 23)(3 x 2 x 1)= 2300.

n(E)= (10C1 x 15C2)=10 x(15 x 14)(2 x 1)= 1050.

P(E) =n(E)=1050=21.n(S)230046

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Q: In a class there are 15 boys and 10 girls Three students are selected at random The probability that one girl and two boys are selected is?
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