Dropdown z lokalizacją Opcje

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Witam szanowne grono forumowiczów (IMG:style_emoticons/default/smile.gif)

Mam problem z działaniem potrójnego selecta z lokalizacją (klasyczne country, state, city).

index.php

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	<select id="countrydd" onChange="changeCountry()">
		<option value="0">Select Country</option>
			<?php
			$countries_count = $connect->query("SELECT * FROM countries");
			while($cc = $countries_count->fetch_assoc())
			{
			echo '<option value="'.$cc['id'].'">'.$cc['name'].'</option>';
			}
			?>
	</select>
 
<div id="state">
	<select>
		 <option>Select State</option>
	</select>
</div>
 
<div id="city">
	<select>
		<option>Select City</option>
	</select>
</div>
 
<script type="text/javascript">
	function changeCountry()
		{
			var xmlhttp = new XMLHttpRequest();
			xmlhttp.open("GET", "ajax.php?country="+$("#countrydd").val(), false);
			xmlhttp.send(null);
			$("#state").html(xmlhttp.responseText);
		}
 
	function changeState()
		{
			var xmlhttp = new XMLHttpRequest();
			xmlhttp.open("GET", "ajax.php?state="+$("#statedd").val(), false);
			xmlhttp.send(null);
			$("#city").html(xmlhttp.responseText);
		}
 
</script>
[PHP] pobierz, plaintext 

ajax.php

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<?php
 
	require_once "connection.php";
	mysqli_report(MYSQLI_REPORT_STRICT);
 
		$connect = new mysqli($host, $db_user, $db_password, $db_name);
		$country = $_GET["country"];
		$state = $_GET["state"];
 
		if(isset ($country))
		{
 
			$states_count = $connect->query("SELECT * FROM states WHERE country_id='$country'");
 
			if($states_count->num_rows > 0)
			{
				echo '<select id="statedd" onChange="changeState()">
								<option>Select State</option>';				
 
					while($sc = $states_count->fetch_assoc())
					{
						echo '<option value="'.$sc['id'].'">'.$sc['name'].'</option>';
					}				
 
				echo '</select>';
			}
			else
			{
				echo '<select><option>Select State</option></select>';
			}
 
		}
 
		if(isset($state))
		{
 
			$cities_count = $connect->query("SELECT * FROM cities WHERE state_id='$state'");
 
			if($cities_count->num_rows > 0)
			{
				echo '<select>
								<option>Select City</option>';				
 
					while($cc = $cities_count->fetch_assoc())
					{
						echo '<option value="'.$cc['id'].'">'.$cc['name'].'</option>';
					}				
 
				echo '</select>';
			}
			else
			{
				echo '<select><option>Select City</option></select>';
			}
 
		}
 
?>
[PHP] pobierz, plaintext 

Teraz, problem w tym, że pomimo iż skrypt działa, bo wyświetla prawidłowe wyniki z bazy danych, to z jakiegoś powodu php wyrzuca na ekran błędy:

[PHP] pobierz, plaintext 
Notice: Undefined index: state in C:\xampp\htdocs\test\ajax.php on line 8
Notice: Undefined index: country in C:\xampp\htdocs\test\ajax.php on line 7
[PHP] pobierz, plaintext 

Próbowałem już na wszystkie znane mi sposoby to naprawić i nadal nie wiem w czym problem.
Z góry dzięki za pomoc.
Pozdrawiam (IMG:style_emoticons/default/wink.gif)