A theatre provides a singing lesson $(S)$, a dancing lesson $(D)$ and an acting lesson $(A)$. A group of $40$ people are surveyed about which lessons they attend.
(a)[3]
All $40$ people attend at least one lesson. $3$ people attend both a singing lesson and an acting lesson, but not a dancing lesson. $7$ people attend only a dancing lesson. $19$ people attend a singing lesson. $4$ times as many people attend only a singing lesson as attend all three lessons. Use this information to complete the Venn diagram.
(b)[1]
Use set notation to describe the subset containing $10$ people.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Fully correct completed Venn diagram” …