Mathematics 4024 · O Level · Sets

Sets — practice question

A shop offers hats ($H$), scarves ($S$) and gloves ($G$). A set of $40$ people are asked which of these items they purchase in the shop. Part of the information is displayed in the Venn diagram.
(a)[2]

$2$ people buy all three items. Anyone who buys both a hat and a scarf also buys gloves. $4$ people buy exactly two items. Use this information to complete the Venn diagram.

(b)[1]

Calculate $n(S \cap (H \cup G)^{\prime})$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Venn diagram completed correctly

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