SOLUTION: A test requires that you answer either part A or part B. Part A consists of 7 true-false questions, and part B consists of 6 multiple-choice questions with one correct answer out o

Algebra ->  Test -> SOLUTION: A test requires that you answer either part A or part B. Part A consists of 7 true-false questions, and part B consists of 6 multiple-choice questions with one correct answer out o      Log On


   



Question 1113117: A test requires that you answer either part A or part B. Part A consists of 7 true-false questions, and part B consists of 6 multiple-choice questions with one correct answer out of six. How many different completed answer sheets are possible?

Found 2 solutions by josmiceli, greenestamps:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
For part A:
+2%5E7+=+128+ possible
For part B:
++6+ possible
----------------------------
For each of the 128 possible ib A, there
can be 6 possible in B, so
+6%2A128+=+768+ possible answer sheets
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Get another opinion if needed

Answer by greenestamps(13195) About Me  (Show Source):
You can put this solution on YOUR website!


I suspect the other tutor misread the problem....

For the 7 true/false questions with (obviously) 2 answer choices for each, the number of possible sets of answers is 2^7.

For the multiple choice part of the test, there are 6 questions (not just 1), each with 6 answer choices. So the number of possible sets of answers for those questions is 6^6.

Then the total number of possible sets of answers is 2^7 * 6^6.