The correct answer is Only 3. Key Points A connector is a thing that links two or more things together. In the sentence, it says that their vacation was fun and it was not affected by the cold weather. So, the connector which can connect these two sentences is 'Despite' which means without being affected by; in spite of. So, 'Despite' is the correct word. ​So, the correct sentence is - Our vacation was a lot of fun, despite the cold weather. Additional Information The types of connectors in English are: coordinating, correlative, subordinating, conjunctive adverbs and prepositional phrases and etc. 'Despite' is a subordinating connector. 'Nevertheless' means in spite of that; notwithstanding; all the same. It comes under Conjunctive adverbs. For example, Statements which, although literally true, are nevertheless misleading. ​'Although' means in spite of the fact that; even though. It comes under the subordinating connector. ​For example, Although the sun was shining it wasn't that warm.