Question

Lance’s math quiz has eight true-false questions. How many different choices for giving answers to the eight questions are possible?

Short answer

There are256different choices for giving answers to the eight true-false questions.

Step-by-step solution

Step 1. Given Information.

Given Lance’s math quiz has eight true-false questions. The number of different choices for giving answers to the eight questions is to be determined.

Step 2. Calculation.

There are 2 ways to answer each of the eight true-false questions.

By the Fundamental Counting Principle, there are $2\times 2\times 2\times 2\times 2\times 2\times 2\times 2=256\varnothing$ choices to answer.

Step 3. Conclusion.

Hence, by Fundamental Counting Principle, there are 256 different choices for giving answers to the eight true-false questions.