Compute the number of a 5 card poker hands containing 2 red aces, 2 black kings, and 1 red queen

Answer 1

Since the order that the cards are dealt doesn't matter, there are only 2 combinations of cards that qualify - you must have the 2 red aces , the 2 black kings and 1 of the 2 red queens. As there are 52*51*50*49*48 possible combinations of 5-card hands, the probability of getting one of the 2 desired combinations would be 1 out of 52*51*50*49*24