How can i show specific Category List?

<?php 
    // change category to your custom page slug
    $categories = get_categories( array( 'include' => array(1, 2, 3) ) ); 
    foreach ($categories as $category) {
        $option .= '<option value="'.get_option('home').'/category/'.$category->slug.'">';
        $option .= $category->cat_name;
        $option .= ' ('.$category->category_count.')';
        $option .= '</option>';
    }
    echo $option;
?>

array(1, 2, 3) is category ids.