How to show custom post type count in the users admin page

There are 2 pretty undocumented hooks 'manage_users_custom_column' and 'manage_users_columns' that you can use for the scope.

They works in same manner of 'manage_posts_custom_column' and 'manage_posts_columns' that are better documented, see Codex.

So you can do something like this:

/*
 * Add Event Column 
 */
function users_events_column( $cols ) {
  $cols['user_events'] = 'Events';   
  return $cols;
}

/*
 * Print Event Column Value  
 */ 
function user_events_column_value( $value, $column_name, $id ) {
  if( $column_name == 'user_events' ) {
    global $wpdb;
    $count = (int) $wpdb->get_var( $wpdb->prepare(
      "SELECT COUNT(ID) FROM $wpdb->posts WHERE 
       post_type="events" AND post_status="publish" AND post_author = %d",
       $id
    ) );
    return $count;
  }
}

add_filter( 'manage_users_custom_column', 'user_events_column_value', 10, 3 );
add_filter( 'manage_users_columns', 'users_events_column' );

only be sure to use the correct post type slug in the SQL query inside user_events_column_value funcion