Indefinite Articles: a and an

A and an signal that the noun is indefinite, referring to any member of a group. These indefinite articles are used with singular nouns when the noun is general; the corresponding indefinite quantity word some is used for plural general nouns.

a boy

an elephant

a broken egg

a girl

some girls

0 Girls (no article)

The rule is:

If the noun follows another word, like an adjective, the choice between a and an depends on the first sound of the that word;

Note also that in English, the indefinite articles are used to indicate membership in a profession, nation, or religion.