According to the diagram of Class 12 activities, how many students take part in exactly two of the three activities? Venn diagram of three overlapping circles labelled Dancers, Singers and Painters inside a box labelled Students in Class 12. Only Dancers: 11. Only Singers: 8. Only Painters: 13. Dancers and Singers only: 6. Dancers and Painters only: 4. Singers and Painters only: 5. All three: 3. Outside all three: 7.

According to the diagram of Class 12 activities,…

According to the diagram of Class 12 activities, how many students take part in exactly two of the three…

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According to the diagram of Class 12 activities, how many students take part in exactly two of the three activities?

3Correct answerYour answer10Correct answerYour answer11Correct answerYour answer15Correct answerYour answer

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CorrectNot quiteAnswer D

Correct answer: D

Exactly two means the three 'two only' regions, not the centre.
Dancers and Singers only 6, Dancers and Painters only 4, Singers and Painters only 5.
Exactly two $= 6 + 4 + 5 = 15$ .

Worth noting

10 and 11 each miss one of the three 'two only' regions. Do not add the centre (3): those students take part in all three, not exactly two.

Ten questions from Venn Diagrams, at your own pace.

Ten questions from Venn Diagrams, at your own pace.