please answer

4. . The instructor of a class allows the students to collaborate and write up together a particular problem in the homework assignment. . Points earned by a collaborating team are divided among the students in any way they agree on. . There are exactly three students taking the course, all equally talented, and they need to decide which of them if any should collaborate. . The problem is so hard that none of them working alone would score any points. Any two of them can score 4 points together, If all three collaborate, they can score 6 points. Which allocation is in the core of this coalitional game? O c) (2, 2, 2); bi (2, 2, 0); O d) The core is empty; O al (0,0,0)