300 Northeastern students were surveyed regarding which other Boston schools they socialize with. The 3 schools they were surveyed about were Harvard, MIT, and BC. - 252 socialize with Harvard; - 191 socialize with MIT; - 170 socialize with BC; - 173 socialize with Harvard and MIT; - 134 socialize with Harvard and BC; - 81 socialize with MIT and BC; - 66 socialize with all three; Use the inclusion-exclusion principle to answer the following questions, briefly describing your answer for each: (a) [3 pts.] How many socialize with Harvard, BC, or both? (b) [3 pts.] How many socialize with none of the three? (c) [3 pts.] How many people socialize with only Harvard? (d) [3 pts.] How many people socialize with Harvard or MIT, but not BC? Hint: If you get stuck, draw a Venn diagram and color in the part you want to compute the cardinality of. Solution