5. Suppose that one of the 360 members of a golf club is to be chosen Player of the Year. If 224 of the members play at least once a week, 98 of them are left handed, and 50 of the lefthanded members play at least once a week, how many of the possible choices would be a. Construct a Venn diagram with these two events b. Lefthanded members who do not play at least once a week C. Members who play at least once a week but are not lefthanded d. Members who do not play at least once a week and are not lefthanded 6. Among 60 houses advertised for sale: there are 8 with swimming pools, three or more bedrooms, and wall to wall carpeting; 5 with swimming pools, three or more bedrooms, but no wall to wall carpeting; 3 with swimming pools, wall to wall carpeting, but fewer than three bedrooms; 8 with swimming pools, but neither wall to wall carpeting nor three or more bedrooms; 24 with three or more bedrooms, but neither a swimming pool nor wall to wall carpeting; 2 with three or more bedrooms, wall to wall carpeting, but no swimming pool; 3 with wall to wall carpeting but neither a swimming pool nor three or more bedrooms; and 7 without any of these features. a. Construct a Venn Diagram of this data. b. How many outcomes correspond to the choice of a house with a swimming pool? C. How many outcomes correspond to the choice of a house with wall to wall carpeting?