Question 145

Nine students of the basketball team have to go out for an intercollege basketball competition. There are two school jeeps: red jeep and blue jeep, each of which can accommodate five students. However, the following conditions must be met:
(i) Vishakha will always go in the red jeep but does not want Akash to travel with her.
(ii) Two out of three students — Mahak, Riya and Dinesh — will be in one jeep.
(iii) Chahat and Naina will always travel together in a jeep.
(iv) If Anamika and Akash are in the same jeep, then Viraj will also be in the same jeep.
(v) No jeep can have more than five students.
If Mahak and Riya are in the red jeep, how many different combinations of students can travel in the jeeps?


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