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JEE Mains 26-July-2022 Shift 2 Solved Paper
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© examsnet.com
Question : 4
Total: 90
n
∑
i
,
j
=
0
i
≠
j
n
C
i
n
C
j
is equal to
[26-Jul-2022-Shift-2]
2
2
n
−
2
n
C
n
2
2
n
−
1
−
2
n
−
1
C
n
−
1
2
2
n
−
1
2
2
n
C
n
2
2
n
−
1
+
2
n
−
1
C
n
Validate
Solution:
👈: Video Solution
n
∑
i
,
j
=
0
,
i
≠
j
n
C
i
n
C
j
=
n
∑
i
,
j
=
0
n
C
i
n
C
j
−
n
∑
i
=
j
n
C
i
n
C
j
=
n
∑
j
=
0
n
C
i
n
∑
j
=
0
n
C
j
−
n
∑
i
=
0
n
C
i
C
i
=
2
n
⋅
2
n
−
2
n
C
n
=
2
2
n
−
2
n
C
n
© examsnet.com
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