Question

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?

Answer 1

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  =  $3 ^4 = 81$

So, total ways   =   $3 ^4 = 81$ ways

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

Answer 2

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:

$= 3^4\\\\= 81$

Learn more: brainly.com/question/17429689