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5 marksCounting

CAPE Pure Mathematics Unit 2 · May/June 2009 · Paper 2 · Question 5(a)

A committee of 4 persons is to be chosen from 8 persons, including Mr Smith and his wife. Mr Smith will not join the committee without his wife, but his wife will join the committee without him. Calculate the number of ways in which the committee of 4 persons can be formed.

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Other parts of this question

  1. 5(b)(i)the numbers on BOTH balls are even[4 marks]
  2. 5(b)(ii)the number on one ball is odd and the number on the other ball is even.[4 marks]
  3. 5(c)(i)Find complex numbers u = x + \mathrm{i}y such that x and y are real numbers and u^2 = -15 + 8\mathrm{i}.[7 marks]
  4. 5(c)(ii)Hence, or otherwise, solve for z the equation z^2 - (3 + 2\mathrm{i})z + (5 + \mathrm{i}) = 0.[5 marks]

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