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AIEEE 2011 Solved Paper
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© examsnet.com
Question : 65
Total: 91
These are 10 points in a plane, out of these 6 are collinear, if
N
is the number of triangles formed by joining these points. then:
N
≤
100
100
<
N
≤
140
140
<
N
≤
190
N
>
190
Validate
Solution:
We need 3 points to create a triangle. With 10 points number of triangle possible
10
C
3
Here 6 points are on the same line so we can't make any triangle with those 6 points.
So subtract
6
C
3
.
∴
N
=
10
C
3
−
6
C
3
=
10.9
.8
1.2
.3
−
6.5
.4
1.2
.3
=
120
−
20
=
100
© examsnet.com
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