I consider your explanation,
Try this,
Example Demo
HTML
<select id="selectChartType" multiple="multiple" style="width:100px">
<option value="chart1">chart1</option>
<option value="chart2">chart2</option>
<option value="chart3">chart3</option>
<option value="chart4">chart4</option>
<option value="chart5">chart5</option>
<option value="chart6">chart6 </option>
</select>
<button class="button1" >change list</button>
<button class="button2" >change prev list</button>
Jquery:
$('.button1').click(function(){
$("#selectChartType").html('<option value="chart3">chart3</option><option value="chart4">chart4</option>')
})
$('.button2').click(function(){
$("#selectChartType").html('<option value="chart1">chart1</option><option value="chart2">chart2</option><option value="chart3">chart3</option><option value="chart4">chart4</option><option value="chart5">chart5</option><option value="chart6">chart6 </option>')
})