A company, Nice Inc., will award 40 fellowships to high-achieving UCR students from four different majors:...

  

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A company, Nice Inc., will award 40 fellowships to high-achieving UCR students from four different majors: computer science, biology, political science and history. They decided to give fellowship awards to at least 7 students majoring in computer science and at most 8 biology majors. The number of political science and history majors should be between 5 and 10 students cach. How many possible lists of awardees are there? You need to give a complete derivation for the final answer, using the method developed in class. (Brute force listing of all lists will not be accepted.) A company, Nice Inc., will award 40 fellowships to high-achieving UCR students from four different majors: computer science, biology, political science and history. They decided to give fellowship awards to at least 7 students majoring in computer science and at most 8 biology majors. The number of political science and history majors should be between 5 and 10 students cach. How many possible lists of awardees are there? You need to give a complete derivation for the final answer, using the method developed in class. (Brute force listing of all lists will not be accepted.)

Answer rating: 100% (QA)

To find the number of possible lists of awardees well break down the problem into smaller parts and calculate the possibilities for each major Lets start with the restrictions for each major 1 Compute... View the full answer