function published_term_count($term_id, $taxonomy){
  if($term_id && $taxonomy){
    global $wpdb;
    $query = "
      SELECT COUNT(ID) FROM $wpdb->posts
      LEFT JOIN $wpdb->term_relationships ON
      ($wpdb->posts.ID = $wpdb->term_relationships.object_id)
      LEFT JOIN $wpdb->term_taxonomy ON
      ($wpdb->term_relationships.term_taxonomy_id = $wpdb->term_taxonomy.term_taxonomy_id)
      WHERE $wpdb->posts.post_status = 'publish'
      AND $wpdb->posts.post_type IN ('post')
      AND $wpdb->term_taxonomy.taxonomy = '" . $taxonomy . "'
      AND $wpdb->term_taxonomy.term_id = '" . $term_id . "'
  	";
  }
  return $wpdb->get_var($query);
}