In a Recent Survey Of $100$ Women, the Following Information Was Gathered

Multiple Choice

In a recent survey of $100$ women, the following information was gathered: $54$ use shampoo A. $52$ use shampoo B. $35$ use shampoo C. $22$ use shampoos A and B. $18$ use shampoos A and C. $13$ use shampoos B and C. $12$ use all three. Name the three sets in this survey A , B , and C . Use the figure (with Regions I through VIII) to answer the question.

A) A = {women who use shampoo B } B = {women who use shampoos A and C}
C = {women who use all three}
B) A = {women who use shampoo A} B = {women who use shampoo B}
C = {women who use shampoo C}
C) A = {women who use shampoo A, but not B or C} B = {women who use shampoo B, but not A or C}
C = {women who use shampoo C, but not A or B}
D) A = {women who use shampoo A, but not B and C} B = {women who use shampoo B, but not A and C}
C = {women who use shampoo A, but not B and C}
E) A = {women who use shampoo A, but not B} B = {women who use shampoo B, but not A}
C = {women who use shampoo C, but not A}