since you asked.... the EDS subtypes are totally crazy. i had to memorize them for my boards, but for step 1 you should probably know type 1 is classic type and is col 5; type 4 is the vascular type and is col 3. Osteogenesis imperfecta and a very rare type of EDS are caused by col 1 mutations.
Ehlers-Danlos syndrome (EDS)
 Type 1 (Gravis): AD, collagen 5. 
 Type 2 (Mitis): AD, collagen 5. 
 Type 3 (Benign hypermobile): AD, collagen 3.
 Type 4 (Vascular): AD/AR, collagen 3: 
 Type 5 (X-linked): X-recessive. Lysyl oxidase deficiency.
 Type 7 (Arthrochalasis multiplex congenita): AD/AR, COL1A/2, 
 Type 8 (Periodontitis): Type 3 collagen. 
 Type 9 (Occipital horn syndrome): XR Lysyl oxidase.
 Type 10 (Fibronectin): AR, fibronectin. 
 Type 11 (Large joint hypermobile): AD: dislocation of large joints
 Progeroid EDS: AR, xylosylprotein 4-beta-galactotransferase. 
 EDS with congenital adrenal hyperplasia: AR, tenascin-X