USN has 10-11 Carriers I am sure if needed they could put all of them to sea if wanted, i never get this 3+3 thinking? surely navys order ships based on requirments
Because of required maintenance and a rotation schedule to accomplish it, particularl heavy maintenance involving the reactors, the US will never have all carriers at sea at one time.
Usually even up to seven would not be at sea at once either because of those schedules, in addition you would have some crews on R&R and involved in training...or the same for the air wing.
Right now the official "Fleet Response Plan" calls for a 6+2 availability in an emergency. That means 6 carriers to surge quickly, followed within 90 days by two more.
However, I believe in the summer of 2004 the U.S. Navy surged seven aircraft carriers from their homeports. This put, at the time, seven of 12 carriers on station for Coalition operations. The ability to push that kind of military capability to the four corners of the world is pretty valuable...but requires having quite a few more than seven carriers built so that adequate maintenance continues even in those circumstances.
As you can see, in a real pinch, the US Navy is prepared to get even eight to sea at once...though I have never seen it happen.