Read the following passage and solve the questions based on it.
Seven students at a B-school who live in a dormitory are being formed into groups that consist of two or three or four members at a time. The groups may change but at any time, each person can be a part of one and only one group. The following guidelines have to be adhered to while forming the groupsThe students are Nitin, Priyanka, Rahul, Sumit, Tanay, Urmila and Vinay. Nitin cannot be in the same group as Sumit. Tanay must be in a group that includes either Sumit or Vinay but not both. Vinay has to be in a group that does not contain even number of members.
If a group of three is formed with Rahul, Tanay and Vinay, then how many groups will be there amongst the seven students?