Considering the following option order:
<em>a) gustan encantan</em>
<em>b) gusta encanta</em>
<em>c) encantan gusta</em>
<em>d) encanta gustan</em>
The correct answer is option: <em>c) encantan, gusta.</em>
Explanation:
The subject of the three sentences is in the first person plural ("<em>Nosotros</em>"): <em>Us</em>. Then, the verbs <em>like</em> ("gustar") and <em>love</em> ("encantar") also have to be conjugated in third person plural. Both verbs are transitive, which means that they need an indirect object or a personal pronoun (me, te, le, nos, os, les) to make complete sense. In this case, they use the pronoun "<em>nos</em>" as the subject is <em>us</em>.
Now, to get to the correct answer we must consider the agreement of each sentence. First sentence is informative. Second sentence refers to "<em>celebrations</em>" o "<em>las celebraciones</em>" in the agreement, which is plural noun, and therefore the correct verb has to be: "<em>encantan</em>" or "<em>gustan</em>", depending on the verb.
Third sentence refers to "<em>spending time alone</em>" or "<em>pasar el rato solos</em>", which is an infinitive form of the verb <em>to spend, </em>so the conjugation goes in the singular form as the rule marks that the verb goes in singular when expressing likes and loves of an action with a verb in the infinitive form. Then, the correct verb has to be: "<em>encanta</em>" or "<em>gusta</em>", depending on the verb.
Now, <u>option </u><u>a)</u><u> </u><em><u>gustan, encantan</u></em>, is not correct because both verbs are conjugated in plural. <u>Option </u><u>b)</u><em><u> gusta encanta</u></em>, is not correct because both verbs are conjugated in singular. <u>Option</u><em><u> </u></em><em><u>d)</u></em><em><u> encanta, gustan</u></em> is not correct because the first verb has to be in plural, and the second in singular, and it is otherwise. So, <em>the correct answer is Option </em><u><em>c) encantan, gusta</em></u><em> because the first verb is in plural, and the second singular.</em>