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CAPE Pure Mathematics Unit 2 · May/June 2014 · Paper 2 · Question 5(a)(i)

SECTION C - Module 3

Five teams are to meet at a round table. Each team consists of two members AND one leader. How many seating arrangements are possible if each team sits together with the leader of the team in the middle?

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Other parts of this question

  1. 5(a)(ii)a)Given that 40% of the individuals used red and 50% used blue, calculate the probability that an individual used BOTH colours.[4 marks]
  2. 5(a)(ii)b)Determine the TOTAL number of individuals that participated in the experiment.[2 marks]
  3. 5(b)(i)Determine the range of values of x for which A^{-1} exists.[4 marks]
  4. 5(b)(ii)Given that \det(AB) = -21, show that x = 3.[4 marks]
  5. 5(b)(iii)Hence, obtain A^{-1}.[4 marks]

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