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

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

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