A student committee of 5 people for Clemson Graduate Student Government (GSG) will be formed. There are 13 applicants: 8 M.S. students and 5 Ph.D. students. Determine the number of different committees that can be formed in each situation. a. The committee is selected at random b. The committee must have exactly 2 M.S. students and 3 Ph.D. students c. For this part only, consider the committee will form the executive team of GSG, which consists of the President, Vice-president, Chief of Staff, Secretary, Treasurer. We know that the president has to be a Ph.D. student and the rest of the committee is selected at random. In how many ways can we form the executive team?

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Please answer quickly and correctly A student committee of 5 people for Clemson Graduate Student Government (GSG) will be formed. There are 13 applicants: 8 M.S. students and 5 Ph.D. students. Determine the number of different committees that can be formed in each situation. a. The committee is selected at random b. The committee must have exactly 2 M.S. students and 3 Ph.D. students c. For this part only, consider the committee will form the executive team of GSG, which consists of the President, Vice-president, Chief of Staff, Secretary, Treasurer. We know that the president has to be a Ph.D. student and the rest of the committee is selected at random. In how many ways can we form the executive team?
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