Question: Please show all steps required to finding the solution. Question 4 (10 points) 1.94 For the set S = {1, 2, ...,7}, consider the five

Please show all steps required to finding the solution.

Question 4 (10 points) 1.94 For the set S = {1, 2, ...,7}, consider the five subsets A1 = {1, 2} , A2 = {3, 4, 5} , A3 = {2, 5, 6} . An = {2, 7} , As = {1, 2}. (a) Is the collection PI = {A1, A2, A3, A4, As} a partition of S? (b) Let Bi = A; - Aiti for i = 1, 2, 3, 4. Is P2 = {B1, B2, B3, Ba} a partition of S? (c) Let Ci = A6_i - As ; for i = 1, , 2, 3, 4. Is P3 = {C1, C2, C3, Ca} a partition of S? Solution

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