What is the sum of binomial coefficients ${}^{n}C_{0} + {}^{n}C_{1} + {}^{n}C_{2} + \dots + {}^{n}C_{n}$?
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Question

What is the sum of binomial coefficients ${}^{n}C{0} + {}^{n}C{1} + {}^{n}C{2} + \dots + {}^{n}C{n}$?

Accepted Answer

The sum of all binomial coefficients in the expansion of $(1 + x)^{n}$ is obtained by putting $x = 1$, which yields $(1 + 1)^{n} = 2^{n}$.

Binomial Theorem