Answer:
The total number of ways we can answer the questions is 78125.
Step-by-step explanation:
Given : You are taking a multiple-choice test that has 7 questions. Each of the questions has 4 answer choices, with one correct answer per question. If you select one of these choices for each question and leave nothing blank.
To find : How many ways can you answer the questions?
Solution :
Each question has 4 answer choices.
If you select one of these choices for each question and leave nothing blank.
i.e. For 1 question number of ways to attempt 1st question is 4 ways
For 2 question number of ways to attempt 2nd question is 4 ways
Similarly, for 7th question number of ways to attempt 7th question is 4 ways.
So, Number of ways we can answer the questions is [tex]5\times 5\times ..5[/tex]
[tex]\text{Number of ways}=5^7[/tex]
[tex]\text{Number of ways}=78125[/tex]
Therefore, The total number of ways we can answer the questions is 78125.
