(1 point) Find the number of distinguishable permutations of the given letters AAABBBCC". There are distinguishable permutations.(1 point) In a survey of 284 people, the following data were obtained relating gender to political orientation: Republican (R) Democrat (D) Independent (1) Total Male (M) 55 58 38 151 Femal (F) 47 67 19 133 Total 102 125 57 284 A person is randomly selected. What is the probability that the person is: a) Male? b) Male and a Democrat? c) Male given that the person is a Democrat? d) Republican given that the person is Male? e) Female given that the person is an Independent? Note: Round off your answers to 4 decimal places in your answers.(1 point) A poker hand, consisting of 9 cards, is dealt from a standard deck of 52 cards. How many different ways someone can form a poker hand of 9 hearts