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Q.

Three numbers are chosen at random without replacement from the set {1,2,3,……,8}. Then the probability that their minimum is equal to order of differential equation x3d3ydx3+x2d2ydx2+xdydx+y=0, given their maximum is equal to degree of differential equation y2=2dydx(x+dydx5),is ------ 

 

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a

15

b

38

c

25

d

14

answer is B.

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Detailed Solution

Order is 3 and degree is 6, Favorable out comes are to select 1 number from {4,5}.Total out comes are to select 2 numbers from {1,2,3,4,5,}. Required probability   
= 2c1 5c2=15

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