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AIEEE 2003 Math Solved Paper
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© examsnet.com
Question : 12
Total: 66
If
n
C
r
denotes the number of combination of
n
things taken
r
at a time, then the expression
n
C
r
+
1
+
n
C
r
−
1
+
2
×
n
C
r
equals
n
+
1
C
n
+
1
n
+
2
C
r
n
+
2
C
n
+
1
n
+
1
C
r
Validate
Solution:
Arrange it this way,
n
C
r
+
1
+
2
⋅
n
C
r
+
n
C
r
−
1
=
n
C
r
+
1
+
n
C
r
+
n
C
r
+
n
C
r
−
1
[ Now use the rule,
n
C
r
+
n
C
r
−
1
=
n
+
1
C
r
]
=
n
+
1
C
r
+
1
+
n
+
1
C
r
=
n
+
2
C
r
+
1
© examsnet.com
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