You are taking a quiz that has 9 multiple-choice questions. If each question has 3 possible answers, how many different ways are there to answer the test?

19 683

Step-by-step explanation:

Think of it as s lock..

A normal combination lock usually have 3 scrollwheels with 10 different positions in them.. (0 1 2 3 4 5 6 7 8 9)

The smallest number you can make is 000

and the biggest is 999

therefore there are a total number of 1000 possible combinations. (001, 002, 003 ... 134, 135, 136 ... 876, 877)

I think you get it.

Simply: 10 ^ 3 = 1000

In your question we have 9 "scroll wheels" with 3 "different positions" in them

So we simply do: 3 ^ 9 = 19 683

There you go, hope i could help

The answer is 10 and 15