Suppose that 109 of the 150 mathematics students at Verysmall College take at least one of the following computer languages: PASCAL, BASIC, C++. Suppose 45 study BASIC, 61 study PASCAL, 53 study C++, 18 study BASIC and PASCAL, 15 study BASIC and C++, and 23 study PASCAL and C++.
(a) How many students study all three languages?
(b) How many students study only BASIC?
(c) How many students do not study any of the languages?
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