it don't have any difficulty fro you to join army,
as per your qualification you are eligible to join army,
to join army after graduation it needs ,
graduation in any discipline,
age limit is 19-24yrs.
it also don't have any problem if you don't have NCC certificate.
NCC is a volunteer training,
it helps you in providing relaxation in govt. jobs.
and it also helps you to join indian defence services.
you may fill up CDS form to join army,
this form is available twice in a yr.
and its new form'n notification is going to release in 2-6-2012.
you may fill up that form if you satisfies above mentioned criteria...
all the best............