The　multi-principal　high-entropy　alloys　(HEAs)　are　promising　new　alloys.　However,　it　is　a　challenge　to　screen　out　the　suitable　composition　from　the　diverse　combinations.　Referring　to　the　prototype　AuCu3　with　AB　3-L12　structure,　where　it　becomes　a　face-centered　cubic　(fcc)　structure　if　element　A　and　B　are　the　same　element,　the　site　occupying　tendencies　of　the　elements　and　thermodynamic　functions　are　predicted　by　using　the　sublattice　model　supported　with　first-principles　total　energy　calculations.　By　considering　the　Gibbs　energy　of　formation　and　the　configurational　entropy,　the　fcc　HEAs　in　available　literatures　are　examined,　and　the　results　of　the　quinary　system　with　equal-atomic　composition　CoFeMnNiM　and　the　hexbasic　system　with　equal-atomic　composition　CoFeMnNiSmM　are　reported,　respectively,　where　the　element　M　is　selected　from　the　rest　of　the　periodical　table.　When　M=Cr,　Zn,　Ru,　Rh,　Pd,　Re,　Os,　Ir,　or　Pt　in　the　quinary　systems　CoFeMnNiM　and　when　M=Ru,　Pd,　or　Pt　in　the　hexbasic　systems　CoFeMnNiSmM,　respectively,　the　alloys　are　recommended　to　be　potential　fcc　HEAs.　The　new　approach　opens　a　new　way　to　mine　the　rich　ores　of　HEAs.　©　2011　Shanghai　Jiaotong　University　and　Springer-Verlag　Berlin　Heidelberg.