The simplest solutions are the best, so You just need:
var list = document.getElementById('list');_x000D_
while (list.firstChild) {_x000D_
list.removeChild(list.firstChild);_x000D_
}
_x000D_
<select id="list">_x000D_
<option value="0">0</option>_x000D_
<option value="1">1</option>_x000D_
</select>
_x000D_