A student taking a 10-question, multiple choice is just guessing all of the answers. In how many distinct ways can the student guess the answers to all 10 questions if i. each multiple question has four possible answers, (a)-(d)? ii. each multiple question has five possible answers, (a)-(e)? iii. each question is a True/False question?
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If each question has four possible answers (a)-(d), then the student has 4 choices for each of the 10 questions. So, the total number of distinct ways the student can guess the answers is 4^10 = 1,048,576 ways. Show more…
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