Consider the following three statements:

(i) Some roses are red.

(ii) All red flowers fade quickly.

(iii) Some roses fade quickly.

Which of the following statements can be logically inferred from the above statements?

1
If (i) is true and (ii) is false, then (iii) is false.
2
If (i) is true and (ii) is false, then (iii) is true.
3
If (i) and (ii) are true, then (iii) is true.
4
If (i) and (ii) are false, then (iii) is false.

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