Mathematics 0580 · IGCSE · Sets

Sets — practice question

The Venn diagram indicates how many elements lie in each region. The region counts are as follows: in A only: 1; in A and B only: 3; in B only: 5; in A and C only: 1; in A, B and C: 5; in B and C only: 2; in C only: 6; outside all sets: 2. The shaded part includes B only, B and C only, and C only.
(a)[1]

Express the shaded region using set notation.

(b)[1]

Find the value of $n(A \cap B \cap C)$.

Worked solution & mark scheme

This 2-mark question has a full step-by-step worked solution and mark scheme. One marking point: $\left(B\cup C\right)\cap A'$

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