You are taking a multiple-choice test that has 4 questions. Each of the questions has 3 answer choices, with one correct answer per question. If you select one of these choices for each question and leave nothing blank, in how many ways can you answer the questions?

The number of ways should be 81.

Given that,

You are taking a multiple-choice test that has 4 questions. Each of the questions has 3 answer choices, with one correct answer per question.

Based on the above information, the calculation is as follows:

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There are in total 81 ways the student can answer all four questions in the given test.

Step-by-step explanation:

Here, the total number of questions in the test  = 4

The possible options to each question  = 3 choices

So, to answer first question there are 3 choices , A , B and C.

Similarly, all four questions have 3 choices each.

Now,as given no question is left unattended.

So, the total ways of answering 4 questions are:

3 ways ( First Q)  x 3 ways ( Second Q)  x 3 ways ( Third Q)

x 3 ways ( Fourth Q)

=  3 x 3 x 3 x  3  =  

So, total ways   =   ways

Hence, there are in total 81 ways the student can answer all four questions in the given test.

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