a. In how many ways can 3 civil engineers and 2 mechanical engineers be chosen from the applicants? b. If 2 of the civil engineer applicants disagree with each other and refuse to be on the same job together, how many different ways can a team of 3 civil engineers and 2 mechanical engineers be formed?

Algebra and Trigonometry (MindTap Course List)
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Chapter14: Counting And Probability
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An Engineers Association has a couple of vacant positions and there are a total of 5 civil engineers and 5
mechanical engineers applying for the job.
a. In how many ways can 3 civil engineers and 2 mechanical engineers be chosen from the applicants?
b. If 2 of the civil engineer applicants disagree with each other and refuse to be on the same job together,
how many different ways can a team of 3 civil engineers and 2 mechanical engineers be formed? 

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