Saludos
Código PHP:
<form name="buscar" method="post" action="resultados2.php" >
<select name="estado" id="estado"/>
<?php
$sql="SELECT DISTINCT 'Categoria' FROM 'Pedimento'";
mysql_select_db("assignments",$conectar);
$result = mysql_query($sql);
while($row = mysql_fetch_array($result)) { ?>
<option value="<?php echo $row['Categoria']?>"><?php echo $row['Categoria']?>
<?php }; ?>
</select>
</form>