In a survey of 85 people it is found that 31 like to drink milk 43 like coffee and 39 like tea.Also 13 like both milk and tea, 15 like milk and coffee, 20 like tea and coffee and 12 like none of the three drinks. Find the number of people who like all the three drinks.

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Discrete mathematics is the study of mathematical structures that can be considered "discrete" rather than "continuous". Topics studied in discrete mathematics include integers, graphs, and statements in logic. Discrete structures can be finite or infinite. Other useful Discrete math topics (for Computer Science) include number bases, mathematical induction, sets, relations, functions, congruence, recursion, combinations and permutations, probability, graphs, trees, logic, Boolean algebra, and proof techniques. Discrete mathematics has numerous uses in computer science. It is often used in... Show more

In a survey of 85 people it is found that 31 like to drink milk, 43 like coffee and 39 like tea.Also 13 like both milk and tea, 15 like milk and coffee, 20 like tea and coffee and 12 like none of the three drinks. Find the number of people who like all the three drinks.






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