1. for all these problems, it is important to show your work. each problem should be carefully set up and all steps leading to a solution provided. joey's wedding reception had 60 members of his family, 30 members of his wife's family and 20 friends in attendance. a group of six was selected by the dj to participate in a dance. you must set up your problem in combinatorics format and then simplify completely. what is the probability that: two of his family, two of his new wife's family and two of their friends a. are chosen? b. at least one of joey's family is selected? at most four of their friends are selected? c. d. all selected dancers are from the same category (joey's family, his wife's family or their friends)?