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Question Number 146614 by otchereabdullai@gmail.com last updated on 14/Jul/21

A university Department has 14 lectures. of these 7 teach pure mathematics, 6 tesch applied mathematics and 5 teach statistics. 3 teach pure mathematics and applied mathematics but no one teach pure mathematics and statistics. a) represent the infomation on a venn diagram. b) find the number of lectures who teach i. Applied mathematics and statistics ii. at most two subject

$$\mathrm{A}\:\mathrm{university}\:\mathrm{Department}\:\mathrm{has}\:\mathrm{14}\:\mathrm{lectures}. \\ $$$$\mathrm{of}\:\mathrm{these}\:\mathrm{7}\:\mathrm{teach}\:\mathrm{pure}\:\mathrm{mathematics},\: \\ $$$$\mathrm{6}\:\mathrm{tesch}\:\mathrm{applied}\:\mathrm{mathematics}\:\mathrm{and}\:\mathrm{5} \\ $$$$\mathrm{teach}\:\mathrm{statistics}.\: \\ $$$$\mathrm{3}\:\mathrm{teach}\:\mathrm{pure}\:\mathrm{mathematics}\:\mathrm{and}\: \\ $$$$\mathrm{applied}\:\mathrm{mathematics}\:\mathrm{but}\:\mathrm{no}\:\mathrm{one}\:\mathrm{teach} \\ $$$$\mathrm{pure}\:\mathrm{mathematics}\:\mathrm{and}\:\mathrm{statistics}. \\ $$$$\left.\mathrm{a}\right)\:\mathrm{represent}\:\mathrm{the}\:\mathrm{infomation}\:\mathrm{on}\:\mathrm{a}\:\mathrm{venn} \\ $$$$\mathrm{diagram}. \\ $$$$\left.\mathrm{b}\right)\:\mathrm{find}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{lectures}\:\mathrm{who}\: \\ $$$$\mathrm{teach} \\ $$$$\mathrm{i}.\:\mathrm{Applied}\:\mathrm{mathematics}\:\mathrm{and}\:\mathrm{statistics} \\ $$$$\mathrm{ii}.\:\mathrm{at}\:\mathrm{most}\:\mathrm{two}\:\mathrm{subject} \\ $$$$ \\ $$

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