Questions: 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. You select one of these choices for each question.

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. You select one of these choices for each question.

Transcript text: 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. You select one of these choices for each question.

Solution

Solution Steps

To determine the number of ways you can answer the test, consider that each question has 4 possible answer choices. Since there are 7 questions, you can multiply the number of choices for each question to find the total number of ways to answer the test.

Step 1: Determine the Number of Choices

Each question on the test has \( 4 \) possible answer choices.

Step 2: Calculate Total Combinations

Since there are \( 7 \) questions, the total number of ways to answer the test can be calculated using the expression: \[ \text{Total Ways} = 4^{7} \]

Step 3: Compute the Result

Calculating \( 4^{7} \) gives: \[ 4^{7} = 16384 \]