# How to center rows in multiline set

I've created a multi-line set like this:

\begin{align*}
\Set{ \begin{array}{l}
(1, 2),(1, 3),(1, 4),(1, 5),(1, 6),(1, 7),(1, 8),(1, 9),(1, 10),\\
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5),(2, 6), (2, 7), (2, 8), (2, 9), (2, 20),\\
\vdots\\
(10, 1), (10, 2), (10, 3), (10, 4), (10, 5),(10, 6), (10, 7), (10, 8), (10, 9), (10, 10)
\end{array}}
\end{align*}


I'm getting this right now:

Ideally, I would want each individual line to be horizontally centred, as well as the \vdots.

Apologies if this isn't the correct way to go about the task at hand; I'm a LaTeX rookie.

You could employ a single Bmatrix environment in an unnumbered displayed equation:
Compared with the \left\{ \begin{array}{c} ... \end{array} \right\} approach, the Bmatrix solution typesets its contents a bit more compactly.
Type texdoc amsmath at a command prompt to open the user guide of the amsmath package in a pdf viewer.
\documentclass{article}
$\begin{Bmatrix} (1, 2),(1, 3),(1, 4),(1, 5),(1, 6),(1, 7),(1, 8),(1, 9),(1, 10),\\ (2, 1), (2, 2), (2, 3), (2, 4), (2, 5),(2, 6), (2, 7), (2, 8), (2, 9), (2, 20),\\ \vdots\\ (10, 1), (10, 2), (10, 3), (10, 4), (10, 5),(10, 6), (10, 7), (10, 8), (10, 9), (10, 10) \end{Bmatrix}$