Consider a 10-card poker hand. A special type of hand that has three denominations repeated three times and the last denomination repeated once is called a chill house. For example King of Diamonds, King of Hearts, King of Spades, 5 of Clubs, 5 of Hearts, 5 of Spades, 2 of Clubs, 2 of Diamonds, 2 of Spades, Jack of Hearts is a chill house. What is the probability that in a randomly dealt hand, where all (52) hands are equally likely, we get a chill house? (You can leave your answer in a form with binomial coefficients.)