It appears that one can have an M1 & E, or M2 and E, or M1 & S or M2 and S but not M1,M2 and E or S, as taken from the TC site:
Active (valid) AME licenses: (data downloaded from AMES program)
Stats last updated: 2007-10-30 00:00:05
NCR ATL QC BC PNR (MB and SK) PNR (AB) ON Totals
M1 19 112 322 494 256 479 509 2191
M2 28 164 905 761 112 309 774 3053
E 10 95 466 392 92 207 436 1698
S 2 41 227 440 105 238 118 1171
Balloons 0 0 4 0 1 3 3 11
M1 and M2 34 419 952 1419 513 1139 1484 5960
M1 and E 0 2 2 7 0 4 7 22
M1 and S 1 7 22 60 26 35 53 204
M2 and E 1 12 25 13 1 10 23 85
M2 and S 1 3 11 11 0 5 4 35
M1, M2 and Balloons 0 1 4 1 3 4 1 14
M1, E and Balloons 0 0 0 0 0 0 0 0
M1, S and Balloons 0 0 1 0 0 0 0 1
M2, E and Balloons 0 0 0 0 0 0 0 0
M2, S and Balloons 0 0 0 0 0 0 0 14445
The link is here: http://www.tc.gc.ca/CivilAviation/maintena...aarpb/stats.asp