In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is: Choose the correct choice from the following answers:  A) 21/46  B) 25/117  C) 1/50  D) 3/25  E) 2/13
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)/n(S)	=1050/2300=21/46   Option 21/46
<result>A</result>
In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is: