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5 marksCounting

CAPE Pure Mathematics Unit 2 · May/June 2016 · Paper 2 · Question 5(b)

Gavin and his best friend Alexander are two of the five specialist batsmen on a school cricket team. The specialist batsmen must bat before the non-specialist batsmen and may bat in any order.

What is the probability that Gavin and Alexander are the opening pair for a given match?

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Other parts of this question

  1. 5(a)(i)Determine the number of possible seating arrangements of the passengers who boarded the bus at the terminal.[2 marks]
  2. 5(a)(ii)At the first stop, no passengers will get off the bus but there are eight other persons waiting to board the same bus. Among those waiting are three friends…[4 marks]
  3. 5(c)(i)Find |A|, the determinant of A.[4 marks]
  4. 5(c)(ii)Hence, or otherwise, find A^(-1), the inverse of A.[10 marks]

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