A company sells packages of decorative papers, each containing three sheets of paper. The available colors are: red, orange, green, blue, and purple. Each package must conform to the following rules: Each package must contain sheets of either two or three different colors. A package containing any orange sheet must also contain at least one red sheet. A package containing any red sheet must also contain at least one orange sheet. Blue and purple sheets cannot be packed in the same package. A package containing any green sheet must also contain at least one purple sheet, but a package containing purple sheet need not contain green sheet. An acceptable package CANNOT contain two sheets of-
A. Orange
B. Red
C. Purple
D. Green
E. Blue
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Explanation: If there are two blue sheets, no other color can be put in without violating the conditions. Orange will violate condition 2, red condition 3, Purple condition 4 and green condition 5.
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