chess problem vs chess composition

chess problem and chess composition both are nouns.

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

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

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

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