(Solution) - If a multiple choice test consists of 5 questions each with -(2025 Original AI-Free Solution)

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If a multiple-choice test consists of 5 questions each with 4 possible answers of which only 1 is correct,
(a) In how many different ways can a student check off one answer to each question?
(b) In how many ways can a student, check off one answer to each question and get all the answers wrong?