## Thinking Mathematically (6th Edition)

$6561$
The number of ways in which a series of successive things can occur is found by multiplying the number of ways in which each thing can occur. --------- The number of ways to choose the answer to the ... 1st question is 3, 2nd question is 3, 3rd question is 3, ... 7th question is 3, 8th question is 3. By the Fundamental Counting Principle, the total ways of doing this is $3\times 3\times...\times 3=3^{8}=6561$ ways