Edexcel D1 2019 June — Question 1

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
Year2019
SessionJune
TopicCombinations & Selection

1. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{87f0e571-e708-4ca9-adc7-4ed18e144d32-02_474_501_374_429} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{87f0e571-e708-4ca9-adc7-4ed18e144d32-02_474_501_374_1133} \captionsetup{labelformat=empty} \caption{Figure 2}
\end{figure} Figure 1 shows the possible allocations of six people, \(\mathrm { A } , \mathrm { B } , \mathrm { C } , \mathrm { D } , \mathrm { E }\) and F , to six tasks, \(1,2,3\), 4, 5 and 6
  1. Write down the technical name given to the type of diagram shown in Figure 1. Figure 2 shows an initial matching.
  2. Starting from the given initial matching, use the maximum matching algorithm to find a complete matching. You should list the alternating paths you use and state your improved matching after each iteration.
    (6)