Groups in 2016

Algebra Level 2

Let $(G,\circ)$ be a finite abelian group of order $n$ , say $G=\{a_i\}_{i=1}^{i=n}$ , where $n$ is a positive integer. Also, let $x=a_1\circ a_2\circ\cdots\circ a_{n-1}\circ a_n$ .

What is the value of $x^{2016}?$

Details and Assumptions:

$e_G$ denotes the identity element of the group $(G,\circ)$ .
$x^n=\underbrace{x\circ x\circ\cdots\circ x\circ x}_{n\textrm{ times}}$ .

Select one or more

x

n

x^n

n!

x^{n!}

e_G

2016