Exercise and diet are being studied as possible substitutes for medication to lower blood pressure. Three groups of subjects will be used to study the effect of exercise. Group one is sedentary while group two walks and group three swims for 1 hour a day. Half of each of the three exercise groups will be on a salt-free diet. An additional group of subjects will not exercise nor restrict their salt, but will take the standard medication. Use Z for sedentary, W for walker, S for swimmer, Y for salt, JV for no salt, M for medication, and F for medication free.
(a) Show all of the elements of the sample space S.
(b) Given that A is the set of non-medicated subjects and B is the set of walkers, list the elements of AUB.
(c) List the elements of A n B.