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Byju's Answer
Standard XII
Mathematics
Sum of Coefficients of All Terms
The value of ...
Question
The value of
10
C
1
+
10
C
3
+
10
C
5
+
10
C
7
+
10
C
9
is
A
2
7
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B
2
8
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C
2
9
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D
2
10
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Solution
The correct option is
C
2
9
We know that
n
C
1
+
n
C
3
+
n
C
5
+
…
=
2
n
−
1
So,
10
C
1
+
10
C
3
+
10
C
5
+
10
C
7
+
10
C
9
=
2
10
−
1
=
2
9
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0
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