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Final answer:Option B provides the fairest, most random sample. Number the students, generate random numbers using a table, and pick students corresponding to those numbers. Use the numbers provided (176, 426, 314, etc.), excluding repetitions and ignoring any number exceeding the total student count.Explanation:The goal is to obtain a simple random sample of students. To do this, option B is the most unbiased and random, and thus recommended. In option B, you would:Number the students from 1 to N, where N is the total number of students.Use a random number table to generate different three-digit numbers.Select the students that correspond to the generated numbers.For part (b), assuming 'N' denotes the total number of students and is a three digit number, the students chosen based on the random number table would be those numbered: 176, 426, 314, 351, etc. (up to however many students you need for your sample). The'president of the student government'should ensure that the same student is not chosen twice, and if a number is drawn that exceeds 'N', it should be ignored and another number drawn.Learn more about simple random sample here:brainly.com/question/36473253#SPJ11...