The Mn-55(d,n)Fe-56 differential cross section is measured at E-d=7 MeV. The Fe-56 level density obtained from neutron evaporation spectra is compared to the level density extracted from the Fe-57(He-3, alpha gamma)Fe-56 reaction by the Oslo-type technique. Good agreement is found between the level densities determined by the two methods. With the level density function obtained from the neutron evaporation spectra, the Fe-56 gamma-strength function is also determined from the first-generation gamma matrix of the Oslo experiment. The good agreement between the past and present results for the gamma-strength function supports the validity of both methods and is consistent with the low-energy enhancement of the gamma strength below similar to 4 MeV that was first discovered by the Oslo method in iron and molybdenum isotopes.