Lalph Rauren was famous for discovering potential models as he walked the streets of New York. One day he spotted four girls who later became top models: Amy, Mary, Kay, and Beth. One was discovered walking through an apartment building, one in a coffee shop, one in a shopping mall, and one in the library. You know the following.
a.If Kay was not discovered in the library, then Amy was discovered in the apartment building.
b.Beth was discovered in the library, unless Mary was discovered in the coffee shop.
c.If Amy was discovered in the apartment building, then Mary was discovered in the shopping mall.
d.If Beth was not discovered in the library, then neither was Kay.
If you have enough information from the statements above, match the girl with the location in which she was discovered and explain your reasoning. If you cannot make the match, explain why.