Q:

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?

Accepted Solution

A:
Answer: 3253Step-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) ]