During this coming summer, the Department of Mathematical Sciences at a university plans

Chapter 14, Problem 17

(choose chapter or problem)

During this coming summer, the Department of Mathematical Sciences at a university plans to offer courses in the following subjects: discrete mathematics (dm), vector calculus (vc), linear algebra (la), data structures (ds), algorithms (al), statistics (st). The following information is known about five students who plan to take courses this summer: Alvin plans to take discrete mathematics, vector calculus and linear algebra. Beverly plans to take discrete mathematics, data structures and linear algebra. Clark plans to take discrete mathematics, algorithms and data structures. Donna plans to take vector calculus and statistics. Edward plans to take statistics and algorithms. The only time periods when courses are taught in the summer are 8:00-9:45, 10:15-12:00, 1:30- 3:15. Can all six courses be offered during these time periods so that two courses are not taught at the same time if some student plans to take both courses?

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