Respuesta :
Let's say there were 3 questions with four answer choices each. That would mean there were 4*4*4 = 16*4 = 64 different ways to answer.
Extend this example out to 19 questions instead of 3. You'll get
4^19 = 4*4*4*...*4*4 = 274,877,906,944
The last value is one big number (not four numbers)
The large number is the answer
note: 4^19 means we have 19 copies of '4' being multiplied together. The three dots mean "continue the pattern". On your paper, you should somehow indicate to your teacher that there are 19 copies of '4' being multiplied.
Extend this example out to 19 questions instead of 3. You'll get
4^19 = 4*4*4*...*4*4 = 274,877,906,944
The last value is one big number (not four numbers)
The large number is the answer
note: 4^19 means we have 19 copies of '4' being multiplied together. The three dots mean "continue the pattern". On your paper, you should somehow indicate to your teacher that there are 19 copies of '4' being multiplied.
The total number of possible ways to answer 19 questions if four options are available is [tex]2.748779069 \times 10^{11}[/tex] and this can be determined by using the given data.
Given :
A multiple-choice test consisting of 19 questions, with each question having four possible answers (a, b, c, or d).
The following steps can be used in order to determine the total number of possible ways to answer the questions:
Step 1 - Remember according to the given data one question consist of 4 choices.
Step 2 - So, the total number of ways to answer a single question is:
[tex]=4^1[/tex] = 4
Step 3 - Therefore, the total number of ways to answer 19 questions will be:
[tex]=4^{19}[/tex]
Step 4 - Simplify the above expression.
[tex]= 2.748779069 \times 10^{11}[/tex]
So, the total number of possible ways to answer 19 questions if four options are available is [tex]2.748779069 \times 10^{11}[/tex].
For more information, refer to the link given below:
https://brainly.com/question/23044118
