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

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

In how many ways can the group be seated in the cars if two particular persons refuse to travel in the same car?

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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)(ii)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…[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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