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4. Let D be the set of weekdays, Monday through Friday, let W be a set of employees {1,2,3} of a tutoring center, and

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4. Let D be the set of weekdays, Monday through Friday, let W be a set of employees {1,2,3} of a tutoring center, and let V be a set of computer languages for which tutoring is offered, {A(PL), B(asic), C(++), J(ava), L(isp), P(ython)}. We define s (schedule) from D into W by dsw if w is scheduled to work on day d. We also define r from W into V by wrl if w can tutor students in language 1. If s and r are defined by matrices 1 2 3 S = = MTWRE 1 0 1 A B C J L P 1 1 0 1 0 0 1 and R - 0 1 1 0 1 0 1 0 1 0 0 1 0 0 1 1 F 1 0 a. compute SR using Boolean arithmetic and give an interpretation of the relation it defines, and b. compute SR using regular arithmetic and give an interpretation of what the result describes.

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