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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

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

Oct 5th, 2015

 A. 115 different ways B. 81 different ways C. 108 different ways D. 136 different ways E. 82 different ways F. 6 different ways

Oct 6th, 2015

3 x 3 x 3 x 3 =81

Oct 6th, 2015

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Oct 5th, 2015
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Oct 5th, 2015
Oct 20th, 2017
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