E 5. Determine whether each statement is TRUE or FALSE. If the statement is false, n necessary change to produce a true statement. (a) The set {1, 2, 3, ..., 100} has 2100 proper subsets. False (b) E {,{0}} Truc (c) {A} E {A, {A}} Trul (d) 0.C {0,{0}}. proper subset A 6. You can purchase a vacation cruise with all, none or some of the extra option The extra options are balcony, dining plan, beverage plan, and port transport a. How many different ways can these options be chosen? 24=1 b. List all of the options. E, 3 {bakony? Dinin's) Eber & Parts { bakonyidi) & balcony beis { balconey part) & Dining, bed} E bako & bako CDini (Dim

5. Determine whether each statement is TRUE or FALSE. If the statement is false, n necessary change to produce a true statement. (a) The set {1,2,3,,100} has 2100 proper subsets. False (b) {,{}} (c) {}{,{}} True (d) {,{}} Irec 6. You can purchase a vacation cruise with all, none or some of the extra option The extra options are balcony, dining plan, beverage plan, and port transport a. How many different ways can these options be chosen? ZU=1 \& b. List all of the options. 3 balcony\} \{balcony di)