Consider the theorem 8.1 (see below) A) Write the formula for T=3 (just like the

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Consider the theorem 8.1 (see below) A) Write the formula for T=3 (just like the theorem below) So there are 15 students in this set of 100 who are taking Freshman Composition, but none of the other courses: Introduction to Economics, Fundamentals of Computer Programming, or Introduction to Design. N(c1c2c3c4)  N(c2c3c4) ? N(c1c2c3c4)   N ? [N(c2) + N(c3) + N(c4)] + [N(c2c3) + N(c2c4) + N(c3c4)] ? N(c2c3c4)  ?  N ? [N(c1) + N(c2) + N(c3) + N(c4)] + [N(c1c2) + N(c1c3) + N(c1c4) + N(c2c3) + N(c2c4) + N(c3c4)] ? [N(c1c2c3) + N(c1c2c4) + N(c1c3c4) + N(c2c3c4)] + N(c1c2c3c4)  or N(c1c2c3c4)  N(c1) ? [N(c1c2) + N(c1c3) + N(c1c4)] + [N(c1c2c3) + N(c1c2c4) + N(c1c3c4)] ? N(c1c2c3c4). So here N(c1c2c3c4)  35 ? [9 + 11 + 13] + [5 + 6 + 6] ? 4  35 ? 33 + 17 ? 4  15, as we found above. B) Explain in your own words why some terms are subtracted and some are added in the above formula.

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