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Sum of Binomial Coefficients of Odd Numbered Terms

In the expans...

Question

In the expansion of $(1 + x)^{n}$ the sum of coefficients

of odd powers of x is

A

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B

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C

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D

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Solution

The correct option is D

Sum of the coefficient of odd powers of x

= $C_{1} + C_{3} + C_{5} + . . . . . . . = 2^{n - 1}$

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