112 Trains

Key:
M = Married Pair (Motor[A] - Motor[B])
S = Single (Trailer[S])
T = Triplet (Motor[A] - Trailer[S] - Motor[B])

6 Cars:
(a) T - S - M
(b) M - S - T

8 Cars:
(a) T - S - M - M
(b) T - M - S - M
(c) M - T - S - M
(d) M - S - T - M
(e) M - S - M - T
(f) M - M - S - T

9 Cars:
(3-1a) T - S - M - S - M
(3-1b) M - S - T - S - M
(3-1c) M - S - M - S - T

(3-2a) T - T - S - M
(3-2b) T - S - T - M
(3-2c) T - S - M - T
(3-2d) T - M - S - T
(3-2e) M - T - S - T
(3-2f) M - S - T - T

10 Cars:
(a) T - S - M - M - M
(b) T - M - S - M - M
(c) T - M - M - S - M
(d) M - T - S - M - M
(e) M - T - M - S - M
(f) M - S - T - M - M
(g) M - M - T - S - M
(h) M - S - M - T - M
(i) M - M - S - T - M
(j) M - S - M - M - T
(k) M - M - S - M - T
(l) M - M - M - S - T

11 Cars:
(3-1a) T - S - M - S - M - M
(3-1b) T - S - M - M - S - M
(3-1c) T - M - S - M - S - M
(3-1d) M - T - S - M - S - M
(3-1e) M - S - T - M - S - M
(3-1f) M - S - T - S - M - M
(3-1g) M - S - M - T - S - M
(3-1h) M - M - S - T - S - M
(3-1i) M - S - M - S - T - M
(3-1j) M - S - M - S - M - T
(3-1k) M - S - M - M - S - T
(3-1l) M - M - S - M - S - T

(3-2a) T - T - S - M - M
(3-2b) T - T - M - S - M
(3-2c) T - S - T - M - M
(3-2d) T - M - T - S - M
(3-2e) T - M - S - T - M
(3-2f) T - S - M - T - M
(3-2g) T - S - M - M - T
(3-2h) T - M - S - M - T
(3-2i) T - M - M - S - T
(3-2j) M - T - S - M - T
(3-2k) M - T - M - S - T
(3-2l) M - S - T - M - T
(3-2m) M - M - T - S - T
(3-2n) M - S - M - T - T
(3-2o) M - M - S - T - T
(3-2p) M - S - T - T - M
(3-2q) M - T - S - T - M
(3-2r) M - T - T - S - M

12 Cars:
(2-1a) T - S - M - M - M - M
(2-1b) T - M - S - M - M - M
(2-1c) T - M - M - S - M - M
(2-1d) T - M - M - M - S - M
(2-1e) M - T - S - M - M - M
(2-1f) M - T - M - S - M - M
(2-1g) M - T - M - M - S - M
(2-1h) M - S - T - M - M - M
(2-1i) M - M - T - S - M - M
(2-1j) M - M - T - M - S - M
(2-1k) M - S - M - T - M - M
(2-1l) M - M - S - T - M - M
(2-1m) M - M - M - T - S - M
(2-1n) M - S - M - M - T - M
(2-1o) M - M - S - M - T - M
(2-1p) M - M - M - S - T - M
(2-1q) M - S - M - M - M - T
(2-1r) M - M - S - M - M - T
(2-1s) M - M - M - S - M - T
(2-1t) M - M - M - M - S - T

(4-2a) T - S - M - S - M - S - M
(4-2b) M - S - T - S - M - S - M
(4-2c) M - S - M - S - T - S - M
(4-2d) M - S - M - S - M - S - T

(4-3a) T - T - S - M - S - M
(4-3b) T - S - T - M - S - M
(4-3c) T - S - T - S - M - M
(4-3d) T - S - M - T - S - M
(4-3e) T - M - S - T - S - M
(4-3f) T - S - M - S - T - M
(4-3g) T - S - M - S - M - T
(4-3h) T - M - S - M - S - T
(4-3i) M - T - S - M - S - T
(4-3j) M - S - T - M - S - T
(4-3k) M - S - T - S - M - T
(4-3l) M - S - M - T - S - T
(4-3m) M - M - S - T - S - T
(4-3n) M - S - M - S - T - T
(4-3o) M - S - T - T - S - M
(4-3p) M - T - S - T - S - M
(4-3q) M - S - T - S - T - M

(4-4a) T - T - T - S - M
(4-4b) T - T - S - T - M
(4-4c) T - S - T - T - M
(4-4d) T - T - S - M - T
(4-4e) T - T - M - S - T
(4-4f) T - S - T - M - T
(4-4g) T - M - T - S - T
(4-4h) T - S - M - T - T
(4-4i) T - M - S - T - T
(4-4j) M - T - T - S - T
(4-4k) M - T - S - T - T
(4-4l) M - S - T - T - T