Higher January 2023 Paper 2R Q20

20 \(A\), \(B\) and \(C\) are three sets.

\(\mathrm{n}(A \cap B \cap C) = 5\)
\(\mathrm{n}(A \cap B \cap C') = 2\)
\(\mathrm{n}(A \cap C) = 5\)
\(\mathrm{n}(A) = 17\)
\(\mathrm{n}\big([A \cup B \cup C]'\big) = 3\)
\(\mathrm{n}(A' \cap B \cap C') = 6\)
\(\mathrm{n}(B \cap C) = 7\)
\(\mathrm{n}(C) = 14\)

Complete the Venn diagram to show the number of elements in each region.

(4)