JSFiddle - React, Tailwind, and code Playground
HTML
<select id ="my-list-of-options">
<option value="1">1</option>
<option value="2">2</option>
<option value="3">3</option>
<option value="4">4</option>
</select>
<input type="button" id="hide" value="Hide"/>
<input type="button" id="restore" value="Restore"/>
JavaScript
var select = $('#my-list-of-options');
select.data('options', $('option', select));
$('#hide').click(function(){
$('#my-list-of-options option:selected').remove();
});
$('#restore').click(function(){
select.html(select.data('options'));
});