A history exam features five questions. Three of the questions are multiple-choice with four options each. The other two questions are true

Question

A history exam features five questions. Three of the questions are multiple-choice with four options each. The other two questions are true or false. If Caroline selects one answer for every question, how many different ways can she answer the exam?

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Kinsley 3 weeks 2021-09-24T23:45:58+00:00 1 Answer 0

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  1. Ava
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    2021-09-24T23:47:36+00:00

    There are total 500 ways in which Caroline can answer the exam.

    Step-by-step explanation:

    Here, the total number of questions in the test  = 5

    The total number of multiple choice questions = 3

    The total number of True/False question = 2

    Let the numbers of the given question be 1,2 ,3,4, and 5.

    Now, the total number of options available to answer question 1 = 5 options

    Similarly,  number of options available to answer question 2 = 5 options

    The number of options available to answer question 3 = 5 options

    The number of options available to answer question 4 = 2 options ( T or F)

    The number of options available to answer question 5 = 2 options ( T or F)

    So, here the total available options to answer all 5 questions

    = The total option available for  question ( 1 x 2 x 3 x 4 x 5)

    = ( 5 ways  x 5 ways x 5 ways x 2 ways x 2 ways)

    = 500 ways

    Hence, there are total 500 ways in which Caroline can answer the exam.

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45:7+7-4:2-5:5*4+35:2 =? ( )