Answer:
243 ways
Explanation:
Calculating the number of posible outcomes:
We have n trials.
Each trial has m possible outcomes.
The total number of outcomes is:
![T = m^(n)](https://img.qammunity.org/2021/formulas/mathematics/college/uds54vf4y16ttcvxwy0sawkbarpbui671c.png)
In this question:
5 questions, that is, 5 trials, so
![n = 5](https://img.qammunity.org/2021/formulas/mathematics/college/pwyq5dqls15ocbaouicnk7qc83zmdzghxo.png)
Each question has 3 options(True, false or unanswered). So
![m = 3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/w3o7a9qxsvnlt3y2sdbnhzzpia5xht9iia.png)
How many ways?
![T = 3^(5) = 243](https://img.qammunity.org/2021/formulas/mathematics/college/273rqa8tazhm3xm9nglt80dsg8svklkwv9.png)