The 64 students in a classical music lecture class were polled, with the results that 37 sike Wolfgang Amadeus Mozart, 35 like Ludwig von Beethoven, 29 like Franz Joseph Haydn, 13 like Mozar and Beethoven, 20 like Mozart and Haydn, 13 like Beethoven and Haydn, and 7 like all three composers. Use a Venn diagram to complete parts (a) through (1) below Complete the Venn diagram. Let M be the set of students that like Mozart, B be the set of students that like Beethoven, and H be the set of students that like Haydn. SH tw Uw *** ww H (a) How many of these students like exactly two of these composers? student(s) (Simplify your answer) b) How many of these students like exactly one of these composers?

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