342.22, 344.22, 348.22, 350.22, 352.22, 356.22, 358.22, 360.22, and 362.22 permit cables to be installed in raceways where the cable articles permit it.
For EMT:
358.22 Number of Conductors. The number of conductors
shall not exceed that permitted by the percentage fill
specified in Table 1, Chapter 9.
Cables shall be permitted to be installed where such use
is not prohibited by the respective cable articles.
The number of cables shall not exceed the allowable percentage fill specified in Table 1, Chapter 9.
For NMB cable: 334.15(B) states:
(B) Protection from Physical Damage. Cable shall be
protected from physical damage where necessary by rigid
metal conduit, intermediate metal conduit, electrical metallic tubing, Schedule 80 PVC conduit, Type RTRC marked
with the suffix -XW, or other approved means. Where passing
through a floor, the cable shall be enclosed in rigid
metal conduit, intermediate metal conduit, electrical metallic tubing, Schedule 80 PVC conduit, Type RTRC marked
with the suffix -XW, or other approved means extending at
least 150 mm (6 in.) above the floor.
Conclusion: NMB cables can be installed in raceways.
