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a multiple choice test has 8 questions with 4 possible answers for each question. if a student were to guess the answer to each question how many different ways would there be to answer the test

A. 32
B. 4
C. 65 536
D. 4 096

  • math -

    the first can be answered in 4 ways
    for each of those, the 2nd can be answered in 4 ways,
    so far 4x4 or 16
    for each of those 16, the 3rd can be answered in 4 ways,
    so far 4x4x4 = 64
    ...

    number of ways = 4^8 or 65635 ways

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