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2 marksCounting

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

A bus has 13 seats for passengers. Eight passengers boarded the bus before it left the terminal.

Determine the number of possible seating arrangements of the passengers who boarded the bus at the terminal.

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Other parts of this question

  1. 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]
  2. 5(b)What is the probability that Gavin and Alexander are the opening pair for a given match?[5 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]

More practice: the rest of this paper · more Counting questions · all CAPE Pure Mathematics Unit 2 past papers