OCR MEI D1 2012 June — Question 3

Exam BoardOCR MEI
ModuleD1 (Decision Mathematics 1)
Year2012
SessionJune
TopicPermutations & Arrangements
TypeAssignment/allocation matching problems

3 The diagram shows three sets, A, B and C. Each region of the diagram contains at least one element. The diagram shows that B is a subset of \(\mathrm { A } , \mathrm { C }\) is a subset of A , and that B shares at least one element with C .
\includegraphics[max width=\textwidth, alt={}, center]{7330fba5-720f-47d5-a2ac-ad24e0cf097b-3_410_615_342_726} The two graphs below give information about the three sets \(\mathrm { A } , \mathrm { B }\) and C . The first graph shows the relation 'is a subset of' and the second graph shows the relation 'shares at least one element with'. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{7330fba5-720f-47d5-a2ac-ad24e0cf097b-3_195_261_977_621} \captionsetup{labelformat=empty} \caption{'is a subset of'}
\end{figure} \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{7330fba5-720f-47d5-a2ac-ad24e0cf097b-3_195_257_977_1155} \captionsetup{labelformat=empty} \caption{'shares at least one element with'}
\end{figure}
  1. Draw two graphs to represent the sets \(\mathrm { X } , \mathrm { Y }\) and Z shown in the following diagram.
    \includegraphics[max width=\textwidth, alt={}, center]{7330fba5-720f-47d5-a2ac-ad24e0cf097b-3_415_613_1388_731}
  2. Draw a diagram to represent the sets \(\mathrm { P } , \mathrm { Q }\) and R for which both of the following graphs apply. \begin{figure}[h]
    \includegraphics[alt={},max width=\textwidth]{7330fba5-720f-47d5-a2ac-ad24e0cf097b-3_202_264_1980_621} \captionsetup{labelformat=empty} \caption{'is a subset of'}
    \end{figure} \begin{figure}[h]
    \includegraphics[alt={},max width=\textwidth]{7330fba5-720f-47d5-a2ac-ad24e0cf097b-3_200_260_1982_1155} \captionsetup{labelformat=empty} \caption{'shares at least one element with'}
    \end{figure}