(1 point) A standard deck of cards consists of four suits (clubs, diamonds, hearts, and spades), with each suit containing 13 cards (ace, two through ten, jack, queen, and king) for a total of 52 cards in all. How many 7-card hands will consist of exactly 3 hearts and 3 clubs?(1 point) A poker hand, consisting of 5 cards, is dealt from a standard deck of 52 cards. Find the probability that the hand contains 5 hearts. Answer: Note: Round off your answer to 6 decimal places.(1 point) Find the number of distinguishable permutations of the given letters AAABBBCCC". There are distinguishable permutations. If a permutation is chosen at random, what is the probability that it begins with at least 2 A's? Round off your answer to 4 decimal places. The probability is