2. A multiple-choice test contains 10 questions. There are four possible answers for each question lo how many ways can a student answer the

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2. A multiple-choice test contains 10 questions. There are four possible answers for each question lo how many ways can a student answer the questions on the test if the student answers every question? the test if the studest

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Adeline 2 weeks 2021-09-09T12:32:54+00:00 1 Answer 0

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    2021-09-09T12:34:08+00:00

    Answer:

    The number of ways are 1,048,576.

    Step-by-step explanation:

    Consider the provided information.

    Product rule: If one event occurs in n contexts and the second event occurs in m contexts, then the number of ways in which the two events happen is n×m.

    There are 10 questions and each question has 4 choices.

    Therefore, for first question we have 4 choices, for second question we have 4 choices similarly for 10th question we have 4 choices which can be represented as:

    4×4×4×4×4×4×4×4×4×4 = 4^{10}

    4×4×4×4×4×4×4×4×4×4 = 1048576

    Thus, the number of ways are 1,048,576.

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