You can go out after you finish your homework.
Permission
It can rain later, so take an umbrella.
Possibility
This road can be very busy in the morning.
Possibility
We can go to the mall if it doesn't rain
Possibility
She can speak three languages.
Ability
He can play the guitar really well.
Ability
The meeting can take longer than expected.
Possibility
We can run five kilometers without stopping.
Ability
I can swim very fast.
Ability
My teacher said I can bring my book to class.
Permission
You can sit here if you want.
Permission / Possibility
Can I ask you a question?
Permission
My brother can solve difficult math problems.
Ability
Can I use your phone for a moment?
Permission
Can we leave work early today?
Permission
They can cook delicious meals.
Ability