In a room containing 28 females, there are 18 females who speak English, 15 females speak french and 22 speak german. 9 females speak both english and french, 11 females speak both french and german where as 13 speak both german and english. How many females speak all 3 languages?

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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 room containing 28 females, there are 18 females who speak English, 15 females speak french and 22 speak german. 9 females speak both english and french, 11 females speak both french and german where as 13 speak both german and english. How many females speak all 3 languages?






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