Dynamic dependent Dropdown lists for categories, sub-categories and posts

you may find your answer here and Here’s a demo of it.

HTML code example

<div class="ccms_form_element cfdiv_custom" id="style_container_div">

<label for="brand">Make:</label>

<select size="1" id="make" class=" validate['required']" title=""  onChange="updatepage();" type="select" name="style">
<option value="-1">–Choose a Make-</option>
<option class="Audio" value="Audi">Audi</option>
<option class="BMW" value="BMW">BMW</option>
</select>
    <div class="clear"></div><div id="error-message-style"></div>

<div id="style-sub-1"  class="BMW"  style="display: none;" name="stylesub1" onchange="ChangeDropdowns(this.value)">
    <label for="brand">Model:</label>

<select name="cat" id="cat" class="postform">
<option value="-1">–Choose a Model-</option>
<option class="level-0" value="172">1 Series</option>
<option class="level-0" value="173">2 Series</option>
<option class="level-0" value="106">3 Series</option>
</select>
</div>
<div id="style-sub-1"  class="Audi"  style="display: none;" name="stylesub1" onchange="ChangeDropdowns(this.value)">
    <label for="brand">Model:</label>

<select name="cat" id="cat" class="postform">
<option value="-1">–Choose a Model-</option>
<option class="level-0" value="169">A1</option>
<option class="level-0" value="170">A3</option>
<option class="level-0" value="171">A4</option>
</select>
</div>
<div class="clear"></div>
<div id="error-message-style-sub-1"></div></div>

JS Code

$("#make").change ( function () {
  var targID  = $(this).val ();
  $("div#style-sub-1").hide ();
  $('.' + targID).show ();
});

you should consider including jQuery and moving the code out of the function to be invoked.