Mathematics 4024 · O Level · Sets

Sets — practice question

In a sports club $24$ members play basketball ($B$), $28$ play cricket ($C$), $16$ play football ($F$), $9$ play basketball and cricket, $11$ play cricket and football and $6$ play basketball and football. Five members take part in all three games, and eight members do none of these games.
(a(i))[2]

Use the information to complete the Venn diagram.

(a(ii))[1]

Hence determine the total number of members in the club.

(b(i))[1]

State $n(F')$.

(b(ii))[1]

Determine $n((F \cup C) \cap B')$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Fully correct Venn diagram

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