Answer
abc, acb, bac, bca, cab, cba,
abd, adb, bad, bda, dab, dba,
abe, aeb, bae, bea, eab, eba,
acd, adc, cad, cda, dac, dca,
ace, aec, cae, cea, eac, eca,
ade, aed, dae, dea, ead, eda,
bcd, bdc, cbd, cdb, dbc, dcb,
bce, bec, cbe, ceb, ebc, ecb,
bde, bed, dbe, deb, ebd, edb,
cde, ced, dce, dec, ecd, edc
Work Step by Step
The order matters; that is $abc\ne cba\ne bac...$
