The given question asks us to identify the correctly matched pairs between famous books and famous scientists. Let`s analyze each option:

Option 1: "1 only". This option implies that only the first pair, "A Brief History of Time" by Stephen Hawking, is correctly matched. We need to check if the other two pairs are also correct.

Option 2: "2 and 3 only". This option suggests that the second pair, "The Grand Design" by Paul Davies, and the third pair, "The First Three Minutes" by Steven Weinberg, are correctly matched. However, we need to verify if the first pair is also correctly matched.

Option 3: "1 and 3 only". According to this option, the first pair and the third pair are the correctly matched ones. We need to verify if the second pair is also correct.

Option 4: "1, 2, and 3". This option implies that all three pairs mentioned are correctly matched. We need to verify if this is true.

Considering the given information, we can conclude that option 3, "1 and 3 only", is the correct answer. Both the first pair, "A Brief History of Time" by Stephen Hawking, and the third pair,