Solve the problem.
-A certain mathematics test consists of 20 questions. Goldie decides to answer the questions withoutreading them. In how many ways can Goldie fill in the answer sheet if the possible answers are true andfalse?
A)1,048,576
B)400
C)40
D)190

Question

Quizplus · Accepted Answer

For each question, Goldie has 2 choices (true or false), so the total number of ways she can answer all 20 questions is 2^20, which is 1,048,576. Therefore, the answer is A. For each question, Goldie has two choices (true or false). Since there are 20 questions, the total number of ways Goldie can fill in the answer sheet is 2 x 2 x 2 ... (20 times) = 2^20 = 1,048,576. Therefore, the best choice is A.

Solve the Problem. -A Certain Mathematics Test Consists of 20 Questions. Goldie Decides