The Experimental Math Game

Solve a problem by using divisibility rules

Your eccentric math teacher, Dr. Mitchell, invented a card game to teach math skills. He wants to try it out by using it on you, his favorite student. The only problem is, it’s a rather hard game. After he tells you the basics of how the game is played, he deals out some cards and asks you to take a question card from the top of the pile...

How many numbers can be created from your cards which are divisible by six?