CartoDB named template programmatically set different colour for each polygon

Is there an easy way to set a different colour for each of an n number of polygons in a named template in CartoDB API?

If I'm currently creating my template this way, how could I go about having each polygon a different colour for instance by randomly generating hex codes?

{
    "version": "0.0.1",
    "name": "test",
    "auth": {
        "method": "open"
    },
    "layergroup": {
        "layers": [{
            "type": "cartodb",
            "options": {
                "cartocss_version": "2.1.1",
                "cartocss": "#layer { polygon-fill: #FFF; }",
                "sql": "select * from table"
           }
        }]
      }
    }