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KEAM 2013 Math Paper
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© examsnet.com
Question : 29
Total: 120
Choose 3, 4, 5 points other than vertices respectively on the sides AB, BC and CAo a triangle ABC. The number of triangles that can be formed using only these points as vertices is
220
217
215
210
205
Validate
Solution:
Required number of triangles that can be formed by using only given points as vertices
=
12
C
3
−
{
3
C
3
+
4
C
3
+
5
C
3
}
=
12
×
11
×
10
3
×
2
×
1
−
{
1
+
4
+
5
×
4
2
×
1
}
=
220
−
(
5
+
10
)
=
220
−
15
=
205
© examsnet.com
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