Question

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?

Answer 1

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 : $2^7=128$    (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 : $5^5=3125$                           (2)

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