$\mathcal{E} = \{ \text{students in a class} \}$, $P = \{ \text{students who study physics} \}$, $C = \{ \text{students who study chemistry} \}$. The Venn diagram gives the student counts. In $P$ only: $5$. In $P \cap C$: $11$. In $C$ only: $8$. Outside both circles: $7$.
(a(i))[1]
Determine the number of students who study physics or chemistry.
(a(ii))[1]
Find $n(P \cap C')$.
(a(iii))[1]
A student who does not study chemistry is selected at random. Find the probability that this student does not study physics.
(b)[1]
On the Venn diagram below, shade $D \cup E'$ .
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$24$.” …