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, in how many ways can you answer the questions?

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

Therefore, The total number of ways we can answer the questions is 78125.

c.

step-by-step explanation:

she should of added 9^2 and 12^2. that is because it is a^2+b^2=c^2. c^2 is the hypotenuse and should always be bigger than the other two numbers. which is why she should of added 9 squared and 12 squared together instead of 15 squared.