Need math help with a problem about possible outcomes

label Mathematics
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An opinion poll is to be conducted among cable TV viewers. Four multiple-choice questions, each with three possible answers, will be asked. In how many different ways can a viewer complete the poll if exactly one response is given to each question?
A.
B.
C.
D.
E.
F.
Nov 15th, 2015

Thank you for the opportunity to help you with your question!

This is a rule of product question . The correct answer is 81 different ways thus B is the correct answer . To state it simply if you have a ways to select something from a set , and b ways to select something from another set you have a * b ways for both . It applys for any given number of sets . In this case its 3 * 3 * 3 * 3 = 81  

Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 15th, 2015

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