The sentence Maman m'a donne ___ oeufs means "Mum gave me ___ eggs." The blank requires a determiner that agrees with oeufs, which is a masculine plural noun.
The correct determiner is des, the indefinite plural article in French. It is used before plural nouns to express an unspecified quantity, equivalent to "some" in English.
The other options are incorrect for the following reasons:
de is a preposition or a reduced partitive (used after negation or before an adjective preceding a noun, e.g., de bons oeufs), but not appropriate here in a positive statement without a preceding adjective
une is a feminine singular indefinite article and cannot precede the masculine plural oeufs
du is the masculine singular partitive article (contraction of de + le), used with uncountable singular nouns (e.g., du pain), not with countable plurals
The complete sentence is: Maman m'a donne des oeufs - Mum gave me some eggs.
