Kxercise 7 (20 points: 10 points for ench part) a) Let A, B, and C be three sets in a universe U. Show that IAUBU Cl = 1 + 1 + 1c1- b) In a fruit feast among 200 students, 88 chose to eat durians, 73 ate mangoes, and 46 ate litchis. 34 of them had caten both durians and mangocs, 16 had caten durians and litchis, and 12 had eaten mangoes and litchis, while 5 had eaten all 3 fruits. How many of the 200 students ate none of the 3 fruits, and how many ate only mangocs