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15 September, 14:12

You are taking a multiple-choice test that has 7 questions. Each of the questions has 5 choices, with one correct choice per question. If you select one of these options per question and leave nothing blank, in how many ways can you answer the questions?

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  1. 15 September, 14:13
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    78,125 ways

    Step-by-step explanation:

    Since each question has 5 answer options, then each question has 5 ways to answer it, therefore, for each question it would be:

    1st question: 5 ways to answer yourself

    2nd question: 5 ways to answer yourself

    .

    .

    .

    7th question: 5 ways to answer yourself

    All the ways would be the total of the multiplication of each question, that is, 5 ^ 7, since there are 7 questions.

    5 ^ 7 = 78125

    There would be a total of 78,125 ways to answer the exam.
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