**Tutorial HELP** COUNT() with SQL

<?php

include_once('resources/config.php');

$query = mysql_query("SELECT COUNT(1) `posts`");
$count = mysql_result($query, 0);

echo $count;
?>

Its supposed to return the number of rows that i have in my SQL database.
It only seems to return 1. I dont quite understand why. I am doing this video tutorial.
Its about 3 minutes in.

SQL Tutorial

Could anyone explain why this might be happening?

At this point I have no use for it, but any information on PHP or SQL would be very productive.