Choose the sentence that is grammatically correct
a ellos les gusta las enchiladas.
ellos gusta comer enchiladas.
ellos gustan las enchiladas.
a ellos les gusta comer enchiladas
it would really be if you can explain to me why it is correct so i can know in the future. you. ^-^

A ellos les gusta las enchiladas.

A ellos les gusta comer enchiladas

Explanation:

First we must divide each part of the sentence

preposition = A

pronoun = ellos

verb = gusta

verb =  comer

article = las

noun = enchiladas

In this example in Spanish we need the preposition "A" at the beginning of the sentences to indicate who like enchiladas

In English, we don't need this preposition because we can say:

They like to eat enchiladas

They like enchiladas

If we translate the sentence literally would be Ellos gusta comer enchiladas, this form is incorrect because we don't know "who".

For example:

We are in a restaurant and there are 5 groups of people eating, but only one group like to eat enchiladas.

If we only say Ellos gusta comer enchiladas, we won't know the correct group.

If we say A ellos, in this case we are pointing a specific group in the restaurant.

A ellos les gusta comer enchiladas

Explanation:

i will take each sentence and describe why is correct or not.

"A ellos les gusta las enchiladas."

Here you can see that "...Gusta Las..." in this case "gusta" is in singular, and the word right next to it "las" is a plural pronoun, so this is incorrectly written.

"Ellos gusta comer enchiladas."

Here we do not have any pronoun, this is incorrectly written.

"Ellos gustan las enchiladas."

Here you can see that "gustan" is correctly in plural, but now we don't have the pronoun before it, so this is incorrect.

"A ellos les gusta comer enchiladas"

Now we have all the pronoun, in this case we have "gusta" again, that is in singular, but it is followed by a non conjugated action "comer", so in this case it is cohesive, so this is correctly written.