All 5!
There is no actual limit to how many Service Academies to which
you can apply, and most applicants apply to more than one. HOWEVER,
there are often limits when the APPLICANT requests a Nomination
-usually from a Member of Congress. Nominations are independent of
the application and required for most Academies. That requirement,
separate from the application is what makes being accepted to all 5
not practical. So you can APPLY to all 5 Service Academies ( USNA,
USMA, USAFA, USCGA, and USMMA ), but many Members Of Congress limit
their Nominations, and a Nomination is required by each Service
Academy before the Applicant is offered a place at that Service
Academy. So you need 4 different Nominations to be accepted to all
5 Service Academies.