Solution 3841cb61-3a86-4ea7-bf91-9f9840884fc2

Points: 1 pt

\begin{tikzpicture}[x=0.72cm,y=0.72cm]
  % Six green dots horizontally across the top.
  \foreach \x in {1,...,6} {
    \fill[green!60!black] (\x,8) circle (0.12);
  }

  % Seven green dots vertically down the left.
  \foreach \y in {1,...,7} {
    \fill[green!60!black] (0,8-\y) circle (0.12);
  }

  % Black dot in every cell (i,j): 6 columns by 7 rows = 42 dots.
  \foreach \x in {1,...,6} {
    \foreach \y in {1,...,7} {
      \fill[black] (\x,8-\y) circle (0.095);
    }
  }

  % Four groups of ten, read left-to-right and top-to-bottom.
  % Group 1: 6 dots in the first row + 4 in the second row.
  \draw[black,very thick,rounded corners=2pt]
    (0.5,7.5) -- (6.5,7.5) -- (6.5,6.5) --
    (4.5,6.5) -- (4.5,5.5) -- (0.5,5.5) -- cycle;

  % Group 2: 2 remaining dots in row 2 + 6 in row 3 + 2 in row 4.
  \draw[black,very thick,rounded corners=2pt]
    (4.5,6.5) -- (6.5,6.5) -- (6.5,4.5) --
    (2.5,4.5) -- (2.5,3.5) -- (0.5,3.5) --
    (0.5,5.5) -- (4.5,5.5) -- cycle;

  % Group 3: 4 remaining dots in row 4 + 6 in row 5.
  \draw[black,very thick,rounded corners=2pt]
    (2.5,4.5) -- (6.5,4.5) -- (6.5,2.5) --
    (0.5,2.5) -- (0.5,3.5) -- (2.5,3.5) -- cycle;

  % Group 4: 6 dots in row 6 + 4 dots in row 7.
  \draw[black,very thick,rounded corners=2pt]
    (0.5,2.5) -- (6.5,2.5) -- (6.5,1.5) --
    (4.5,1.5) -- (4.5,0.5) -- (0.5,0.5) -- cycle;

  % The final two black dots, at row 7 columns 5 and 6, remain ungrouped.
\end{tikzpicture}

Final answer:
42