promiscuousness vs sleeping around

promiscuousness and sleeping around both are nouns.

Word	Noun	Adjective	Verb	Adverb
promiscuousness	Yes	No	No	No
sleeping around	Yes	No	No	No

As nouns, promiscuousness and sleeping around are synonyms defined as:

promiscuousness and sleeping around: indulging in promiscuous (casual and indiscriminate) sexual relations

Other synonyms of promiscuousness include promiscuity.

promiscuousness (noun)	sleeping around (noun)
indulging in promiscuous (casual and indiscriminate) sexual relations	indulging in promiscuous (casual and indiscriminate) sexual relations