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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?
Oct 5th, 2015

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

suppose we number the multiple-choice question 1, 2, 3 and 4. If the three possible answers  are labeled A, B, and C, the  different responses are: 

1A or 1B or 1C  for the first question;

2A or 2B or 2C for the second question

and 3A or3B or 3C for the third question

and 4A or 4B or 4C for the fourth question

This makes 12 possible different answers altogether

*The easy way is to multiply 4 (the number of questions by 3 (the number of answers)

4 x 3 = 12

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 5th, 2015

These are the possible answers.







Oct 6th, 2015

Answer B 81

3 x 3 x 3 x 3 =81

Oct 6th, 2015

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