## 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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Math
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2021-09-24T23:45:58+00:00
2021-09-24T23:45:58+00:00 1 Answer
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## Answers ( )

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 optionsSimilarly, number of options available to answer question 2 =

5 optionsThe number of options available to answer question 3 =

5 optionsThe 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)

= (

5ways x5ways x5ways x2ways x2ways)=

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