Permission
can/may
You can/may park here.
Obligation
must/have to
You must help my parents. (coming from inside – moral duty)
I have to come to work on time . (coming from outside)
No obligation
don’t have to (+also: needn’t + V1)
You don’t have to work at the weekend.
Prohibition
mustn’t/can’t
You mustn’t/can’t feed animals here.
Ability
can
I can sing.
I can’t paint well.
Advice
should (also: ought to)
You should study more.
Possibility
may/might/could
They might like your present.
Certainty
must/can’t
She must be at home. She can’t be outside.