Question

Possible Answers on a True/False Test How many arrangements of answers are possible for a true/false test with 10 questions?

Short answer

The number of possible arrangements of answers is 1024.

Step-by-step solution

Step 1. Given information.

Total number of questions is 10.

Answer of each question is either true or false.

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

Each answer has 2 choices and the total number of questions is 10.

By the Multiplication Principle, we get

$2·2·2·2·2·2·2·2·2·2=1024$

Step 3. Conclusion.

The number of possible arrangements of answers is 1024.