A Study of Vedolizumab Intravenous (IV) and Adalimumab or Vedolizumab and Ustekinumab in Adults With Crohn's Disease

The drug being tested in this study is vedolizumab. Vedolizumab is being tested to treat people with moderate to severe Crohn's disease who have experienced inadequate response, loss of response or intolerance to either one prior interleukin \[IL\] antagonist, and no other biologic/small molecule (Group A); one IL antagonist and either one Janus kinase inhibitor (JAKi) or one TNFi (other than adalimumab) \[Group B\] (Cohort 1) or one prior tumor necrosis factor inhibitor \[TNFi\] and no other biologic/small molecule (Group C); one TNFi and either 1 JAKi or one IL antagonist (other than UST) (Group D) (Cohort 2). The study will look at the efficacy and safety of dual targeted therapy. The study will enroll approximately 100 participants. Participants will be assigned to one of the two treatment groups in Part A: * Part A, Cohort 1: Vedolizumab + Adalimumab * Part A, Cohort 2: Vedolizumab + Ustekinumab All participants who achieve therapeutic benefit in Part A will receive vedolizumab IV 300 mg monotherapy from Week 30 until Week 46 in Part B. Participants will be followed for a further 20-week safety follow-up period to Week 72 (or 26 weeks post-last dose of study drug). This multi-center trial will be conducted in the United States and Canada. The overall time to participate in this study is approximately 76 weeks.