i) A and B are any set, prove that |A U B| = |A | + |B| - |A B| (8 points) ii) Establish |A U B U C| = |A | + |B | + | C | - |A B | - |A C| - |B C| + |A B C| (7 points) iii) A produce stand sells only broccoli, carrots and okra. One day the stand served 207 people. If 114 people purchased broccoli, 152 purchased carrots, 25 purchased okra, 64 purchased broccoli and carrots, 12 purchased carrots and okra and 9 purchased all three, how many people purchased broccoli and okra? (5 points)