yumi ishihara answered 3/12/2011 In How Many Ways Can Three Aces Be Drawn From A Deck Of Cards? There are 3 different aces out of 4 in one deck of cards. From each card, you can get 1/13*4 possibilities of selecting. Therefore, 3C4/4C52=3*4/4*52=12/208=3/52 52 cards exist in one deck of cards. Three ways can be drawn.