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CAPE Pure Mathematics Unit 2 · May/June 2021 · Paper 2 · Question 5(b)(ii)

A group of twelve persons are to travel in three cars. Each car can seat four persons.

On a table, there is space for 10 books out of a total of 16 available books. However, a Bible and a book of ghost stories must go at the ends. In how many ways can the books be arranged on the table?

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Other parts of this question

  1. 5(a)(i)Represent the possible outcomes of a single trial of this experiment on a tree diagram.[3 marks]
  2. 5(a)(ii)Determine the probability that a golf ball is drawn on the first trial of the experiment.[4 marks]
  3. 5(b)(i)In how many ways can the group be seated in the cars if two particular persons refuse to travel in the same car?[5 marks]
  4. 5(c)(i)By reducing the matrix to row echelon form, show that the system has a finite set of solutions.[4 marks]
  5. 5(c)(ii)Hence, solve the system of linear equations.[4 marks]

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