chess composition vs chess problem

chess composition and chess problem both are nouns.

Word	Noun	Adjective	Verb	Adverb
chess composition	Yes	No	No	No
chess problem	Yes	No	No	No

As nouns, chess composition and chess problem are synonyms defined as:

chess composition and chess problem: a puzzle set by somebody using chess pieces on a chess board, that presents the solver with a particular task to be achieved.

chess composition (noun)	chess problem (noun)
the process of composing (and solving) chess problems.	a puzzle set by somebody using chess pieces on a chess board, that presents the solver with a particular task to be achieved.
a puzzle set by somebody using chess pieces on a chess board, that presents the solver with a particular task to be achieved.