\fIII. Solve the following problems using 's'enn diagram and answer the questions. In a SUNS? involving 150 different factories, it was found out that TD purchased brand Ar ir'S purchased brand B, 95 purchased brand E, 3i] purchased brands A and B, 45 purchased brands A and C, 413 purchased brands B and (3. However, there are 15 factories that did not purchase anyr of the three brands. How ma rw factories purchased: a. exactly.r one brand is. at most two brands c. brand A or brand C cl. brand B and brand C but not brand A e. brand C or brand A but not brand E f. at least 1 brand g. brand Ei and brand A h. neither brand B nor brand C i. How many factories that did not purchase brand A or brand B or brand C? i. How many! factories that did not purchase brand A and brand C