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Q.

Using the vertices of a polygon having 12 sides a triangle is constructed at random. The probability that the triangle so formed is such that no side of the polygon is side of the triangle is

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a

2855

b

755

c

1755

d

1855

answer is B.

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Detailed Solution

nS= 12C3

E= triangle so formed using verties no side of the polygon in side of the triangle.

nE=C3   n-n-nn-4         where n=12

PE= 12C3-12-12×8 12C3

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