I have asked about this in Saudi and 3 of the lawyers said the company owns the idea/solution as it was created for them, unless they sign on an agreement to state the students right of selling the solution to multiple companies.
I love it! it might be the way Issac and I can have our idea work with! you can have a platform where companies register as a client, universities register as the work group, students will register for their work group and then the companies can post their problems either public post or privately for certain workgroup then the magic begin! I have contributed this idea to the challenge, check it out, I'm sure it will make sense to you when you read it :-) Connecting higher education institutions to the job market