You can use the same post_snippets_carousel shortcode just need to change the post_type to “department”.
[segment background_color="#eeeeee"]
[heading2 title="Departments" pitch_text="Lorem ipsum dolor sit amet, consectetuer elit arcu sit proin a vel porttitor risus."]
[post_snippets_carousel id="dept-carousel" post_type="department" navigation="true" post_count=6 image_size='medium' display_title=true show_meta=true display_summary=true show_excerpt="true" excerpt_count=80 hide_thumbnail="false" navigation="true"]
[/segment]