633 views
5 votes
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?

User TimChang
by
8.7k points

1 Answer

12 votes

Answer:

19 683

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

User Tehras
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories