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CAPE Pure Mathematics Unit 2 · May/June 2018 · Paper 2 · Question 5(b)

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 possible ways the committee can be formed.

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Other parts of this question

  1. 5(a)(i)Calculate P(A intersect B).[3 marks]
  2. 5(a)(ii)Determine whether events A and B are independent. Justify your response.[3 marks]
  3. 5(c)How many odd numbers greater than 500 000 can be made from the digits 2, 3, 4, 5, 6, 7 without repetitions?[5 marks]
  4. 5(d)(i)By finding AB, deduce that A^(-1) = 1/88 B.[5 marks]
  5. 5(d)(ii)Hence, or otherwise, solve the system of equations given by [[5, -2, 3], [0, 3, -4], [2, 0, 6]] [[x], [y], [z]] = [[7], [11], [-6]].[4 marks]

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