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January 20th, 2018, 02:42 AM   #1
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From: Zambia

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Hello Math forum, I need help with situational set theory questions

I've been having problems solving questions like this in my exams,

A survey was carried out among school leavers in a certain town involving three institutions, and showed that 118 applied to University of Zambia, 98 applied to Copperbelt University and 94 applied to University of Lusaka. To increase the chances of selection, 42 applied to University of Zambia and Copperbelt University, 24 applied to Copperbelt University and University of Lusaka, and 8 applied to all of the three institutions.

(i). Show this information on the Venn diagram.
(ii). Calculate the total number of school leavers who took part in the survey.

Last edited by skipjack; January 20th, 2018 at 10:57 AM.
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January 20th, 2018, 11:29 AM   #2
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The problem is poorly worded. It seems to be intended that 118 was the total number of school leavers who applied to University of Zambia, etc.

I think you are intended to assume that none of the school leavers applied to the University of Zambia and the University of Lusaka, but not Copperbelt University.

Also, it appears that you should assume that every school leaver who took part in the survey applied to at least one of the three universities mentioned.

Can you post your attempt at a correct Venn diagram?
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