Mathematics 0580 · IGCSE · Sets

Sets — practice question

The Venn diagram indicates how many students take French ($F$), Spanish ($S$) and Arabic ($A$). The regions show: $7$ in $F$ only, $5$ in $S$ only, $8$ in $A$ only, $4$ in $F \cap S$, $2$ in $F \cap A$, $3$ in $S \cap A$, $1$ in $F \cap S \cap A$, and $0$ outside all sets.
(a)[1]

Find the value of $n(A \cup (F \cap S)).

(b)[1]

On the Venn diagram, shade the area $F' \cap S$.

Worked solution & mark scheme

This 2-mark question has a full step-by-step worked solution and mark scheme. One marking point: Final answer: $18$

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