# Imaginary summation?

Algebra Level 5

If $n$ is an integer and $\omega$ is an imaginary cube root of unity, let $A$ denote the value of

${\displaystyle\sum_{k=0}^{n} \binom{n}{k} \omega^{k}}$

Then the number of possible values of $e^A$ is?

Note:This question is a part of set KVPY 2014 SB

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