Each county shall have the authority (1) to plan, initiate, fund, maintain, administer, and evaluate facilities, programs, and services that meet the rehabilitation, treatment, care, training, educational, residential, diagnostic, evaluation, community supervision, and protective service needs of dependent, aged, blind, disabled, ill, or infirm persons, persons with a mental disorder, and persons with an intellectual disability domiciled in the county, (2) to purchase outright by installment contract or by mortgage with the power to borrow funds in connection with such contract or mortgage, hold, sell, and lease for a period of more than one year real estate necessary for use of the county to plan, initiate, fund, maintain, administer, and evaluate such facilities, programs, and services, (3) to lease personal property necessary for such facilities, programs, and services, and such lease may provide for installment payments which extend over a period of more than one year, notwithstanding the provisions of section 23-132 or 23-916, (4) to enter into compacts with other counties, state agencies, other political subdivisions, and private nonprofit agencies to exercise and carry out the powers to plan, initiate, fund, maintain, administer, and evaluate such facilities, programs, and services, and (5) to contract for such services from agencies, either public or private, which provide such services on a vendor basis. Compacts with other public agencies pursuant to subdivision (4) of this section shall be subject to the Interlocal Cooperation Act.