[danik.js]

<select id="count" name="user_type">
    <option value="1">1</option>
    <option value="2">3</option>
    <option value="3">4</option>
    <option value="4">5</option>
    <option value="5">5</option>
</select>
<script>
(function(){
    var select = document.querySelector('#count');
    if (localStorage.selectedIndex !== undefined) {
        select.selectedIndex = localStorage.selectedIndex;
    }
    select.onchange = function() {
        localStorage.selectedIndex = this.selectedIndex;
    }
})()
</script>