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?

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.