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Question Number 99232 by otchereabdullai@gmail.com last updated on 19/Jun/20

In a class of  70 students, 6 offer   economices only, 18 offer economics   but not mathematics, 36 offer   economics and geography, 53 offer   economics, 50 offer Geography and 34  offer mathematics and geography, all   students off at least one subject.  a) illustrate the information on a venn  diagram  b) determine the number of students  who offer mathematics.

$$\mathrm{In}\:\mathrm{a}\:\mathrm{class}\:\mathrm{of}\:\:\mathrm{70}\:\mathrm{students},\:\mathrm{6}\:\mathrm{offer}\: \\ $$$$\mathrm{economices}\:\mathrm{only},\:\mathrm{18}\:\mathrm{offer}\:\mathrm{economics}\: \\ $$$$\mathrm{but}\:\mathrm{not}\:\mathrm{mathematics},\:\mathrm{36}\:\mathrm{offer}\: \\ $$$$\mathrm{economics}\:\mathrm{and}\:\mathrm{geography},\:\mathrm{53}\:\mathrm{offer}\: \\ $$$$\mathrm{economics},\:\mathrm{50}\:\mathrm{offer}\:\mathrm{Geography}\:\mathrm{and}\:\mathrm{34} \\ $$$$\mathrm{offer}\:\mathrm{mathematics}\:\mathrm{and}\:\mathrm{geography},\:\mathrm{all}\: \\ $$$$\mathrm{students}\:\mathrm{off}\:\mathrm{at}\:\mathrm{least}\:\mathrm{one}\:\mathrm{subject}. \\ $$$$\left.\mathrm{a}\right)\:\mathrm{illustrate}\:\mathrm{the}\:\mathrm{information}\:\mathrm{on}\:\mathrm{a}\:\mathrm{venn} \\ $$$$\mathrm{diagram} \\ $$$$\left.\mathrm{b}\right)\:\mathrm{determine}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{students} \\ $$$$\mathrm{who}\:\mathrm{offer}\:\mathrm{mathematics}. \\ $$

Commented by mr W last updated on 20/Jun/20

Commented by mr W last updated on 20/Jun/20

M=11+24+10+3=48

$${M}=\mathrm{11}+\mathrm{24}+\mathrm{10}+\mathrm{3}=\mathrm{48} \\ $$

Commented by otchereabdullai@gmail.com last updated on 20/Jun/20

you still remain the number one prof,    the ideal one , i always ask for God′s   protection on you . God will reward   you (heaven will be your portion)

$$\mathrm{you}\:\mathrm{still}\:\mathrm{remain}\:\mathrm{the}\:\mathrm{number}\:\mathrm{one}\:\mathrm{prof},\:\: \\ $$$$\mathrm{the}\:\mathrm{ideal}\:\mathrm{one}\:,\:\mathrm{i}\:\mathrm{always}\:\mathrm{ask}\:\mathrm{for}\:\mathrm{God}'\mathrm{s}\: \\ $$$$\mathrm{protection}\:\mathrm{on}\:\mathrm{you}\:.\:\mathrm{God}\:\mathrm{will}\:\mathrm{reward}\: \\ $$$$\mathrm{you}\:\left(\mathrm{heaven}\:\mathrm{will}\:\mathrm{be}\:\mathrm{your}\:\mathrm{portion}\right) \\ $$$$ \\ $$

Commented by mr W last updated on 20/Jun/20

thank you sir!

$${thank}\:{you}\:{sir}! \\ $$

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