Undefinite articles like 'a' and 'an' precede singular nouns and refer to things that are unknown, while 'some' and 'any' precede plural nouns and refer to an unspecified quantity. 'A' is used before consonant sounds and 'an' is used before vowel sounds. 'Some' is used in affirmative sentences and 'any' is used in interrogative and negative sentences.