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 5 multiple-choice questions with one correct answer out of five. How many different completed answer sheets are possible?

Question

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JeanaShupp JeanaShupp · Answer 1 · 2019-09-20T11:15:13+02:00

Answer: 3253

Step-by-step explanation:

Given : A test requires that you answer either part A or part B.

Part A consists of 7 true-false questions.

i.e. there are 2 choices to answer each question.

Now, the number of ways to answer Part A : [tex]2^7=128[/tex] (1)

Part B consists of 5 multiple-choice questions with one correct answer out of five.

i.e. there are 5 choices to answer each question.

Now, the number of ways to answer Part B : [tex]5^5=3125[/tex] (2)

Now, the number of different ways to completed answer sheets are possible= [tex]128+3125=3253[/tex] [Add (1) and (2) ]