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  • What is the sum of the coefficients <img alt="\\\;^{11}C_0+\;^{11}C_2+\;^{11}C_4\cdots\cdots\;+^{11}C_{10}" src="/latex-image/?%5C%5C%5C%3B%5E%7B11%7DC_0&plus;%5C%3B%5E%7B11%7DC_2&plus

What is the sum of the coefficients \\\;^{11}C_0+\;^{11}C_2+\;^{11}C_4\cdots\cdots\;+^{11}C_{10} ?

Option: 1

1024


Option: 2

512


Option: 3

2048


Option: 4

256


Answers (1)

best_answer

As we have learnt,

\mathrm{C}_{0}+\mathrm{C}_{2}+\mathrm{C}_{4}+\ldots \ldots=2^{n-1}

 

So,

 2^{n-1}=2^{11-1}=2^{10}=1024

 

option A is correct.

Posted by

chirag

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