To the Slaughter

The number of card types matters, not the number of cards. For example, Wicker Witch (an artifact creature) along with Catalog (an instant) and Chaplain's Blessing (a sorcery) will enable delirium.

Because you consider only the characteristics of a double-faced card's front face while it's not on the battlefield, the types of its back face won't be counted for delirium.

If the delirium ability applies, that player must sacrifice a creature object and a planeswalker object if able. In the unusual case that the player controls a single permanent that's both a creature and a planeswalker, that player must sacrifice another creature or planeswalker (unless they control no other creatures and no other planeswalkers).