Question

Possible Answers on a Multiple-choice Test How many arrangements of answers are possible in a multiple-choice test with 5 questions, each of which has 4 possible answers?

Short answer

The number of possible arrangements of answers is 1024.

Step-by-step solution

Step 1. Given information.

Total number of questions is 5.

Number of possible answers for each question is 4.

Step 2. Determine the number of possible arrangements of answers.

Each answer has 4 choices and total number of questions is 5.

By the Multiplication Principle, we get

$4·4·4·4·4=1024$

Step 3. Conclusion.

The number of possible arrangements of answers is 1024.