According to their regs: Ohio State board of Nursing accepts: A CE activity approved or provided by a nationally recognized accreditation system of CE, for example,
the American Nurses Credentialing Center (ANCC), the Accreditation Council for Continuing Medical
Education (ACCME), the International Association for Continuing Education and Training (IACET)), or a
national certifying organization that meets the requirements in Section 4723.46(A), ORC;
There is no limit to how many of your 24 hours can be made up in this way.
The full Ohio regs are here: http://www.nursing.ohio.gov/PDFS/Education/CE_FAQ.pdf
Hope that helps