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KEAM 2013 Math Paper
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© examsnet.com
Question : 24
Total: 120
If
n
C
r
−
1
=
36
and
n
C
r
=
84
,
then
13
r
−
3
n
−
3
=
0
10
r
−
3
n
−
30
=
0
10
r
+
3
n
−
3
=
0
10
r
−
3
n
+
3
=
0
10
r
−
3
n
−
3
=
0
Validate
Solution:
Given,
n
C
r
−
1
=
36
and
n
C
r
=
84
Now,
n
C
r
−
1
n
C
r
=
36
84
⇒
r
n
−
r
+
1
=
36
84
=
3
7
⇒
7
r
=
3
n
−
3
r
+
3
⇒
10
r
=
3
n
+
3
⇒
10
r
−
3
n
−
3
=
0
© examsnet.com
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