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Question Number 10000 by Tawakalitu ayo mi last updated on 20/Jan/17

An analyst was hired to survey 20 students.  He reported that 6 eat eba, 5 eat amala and  7 eat semovita. 9 eat eba or amala, 12 amala  or semovita and 9 eba or semovita. 3 eat all  the three food and 10 eat none. After a careful  analysis of these findings, the analyst was fired.  why ???

$$\mathrm{An}\:\mathrm{analyst}\:\mathrm{was}\:\mathrm{hired}\:\mathrm{to}\:\mathrm{survey}\:\mathrm{20}\:\mathrm{students}. \\ $$$$\mathrm{He}\:\mathrm{reported}\:\mathrm{that}\:\mathrm{6}\:\mathrm{eat}\:\mathrm{eba},\:\mathrm{5}\:\mathrm{eat}\:\mathrm{amala}\:\mathrm{and} \\ $$$$\mathrm{7}\:\mathrm{eat}\:\mathrm{semovita}.\:\mathrm{9}\:\mathrm{eat}\:\mathrm{eba}\:\mathrm{or}\:\mathrm{amala},\:\mathrm{12}\:\mathrm{amala} \\ $$$$\mathrm{or}\:\mathrm{semovita}\:\mathrm{and}\:\mathrm{9}\:\mathrm{eba}\:\mathrm{or}\:\mathrm{semovita}.\:\mathrm{3}\:\mathrm{eat}\:\mathrm{all} \\ $$$$\mathrm{the}\:\mathrm{three}\:\mathrm{food}\:\mathrm{and}\:\mathrm{10}\:\mathrm{eat}\:\mathrm{none}.\:\mathrm{After}\:\mathrm{a}\:\mathrm{careful} \\ $$$$\mathrm{analysis}\:\mathrm{of}\:\mathrm{these}\:\mathrm{findings},\:\mathrm{the}\:\mathrm{analyst}\:\mathrm{was}\:\mathrm{fired}. \\ $$$$\mathrm{why}\:??? \\ $$

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