CAIE S1 2012 June — Question 5

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2012
SessionJune
TopicCombinations & Selection

5 An English examination consists of 8 questions in Part \(A\) and 3 questions in Part \(B\). Candidates must choose 6 questions. The order in which questions are chosen does not matter. Find the number of ways in which the 6 questions can be chosen in each of the following cases.
  1. There are no restrictions on which questions can be chosen.
  2. Candidates must choose at least 4 questions from Part \(A\).
  3. Candidates must either choose both question 1 and question 2 in Part \(A\), or choose neither of these questions.