Tax help! Unmarried parents of 1 child. Who claims the EIC, childcare expense, exemption?

Unmarried couple living apart. Can one claim the child exemption and the other claim the EIC and daycare expense? Mother only made gross income $8,000. Child lived with mother, but father paid over 1/2 expenses. They are a couple so it isn't a question of who "gets" the tax breaks. They actually lived together, but use different addresses.