A nonstandard deck has $15$ different card values and $6$ suits. A joker card is added as a wild card to the deck. The rule is that in any hand, the Joker must be interpreted in a way that will give the hand its highest possible rank (i.e. $4$ of a kind, flush, three of a kind, etc.). How many possible full house hands including the Joker or not are there in the nonstandard deck?
No idea on how to start or do this problem. I understand how combinations/permutations work but no idea what to do for this problem