In how many ways can a 15-question true-false exam be answered?
(Note: No questions are taken away)
2^15
32768
To find the number of ways a 15-question true-false exam can be answered, we need to consider that each question has two possible answers: true or false.
Since there are two choices for each question, and we have 15 questions in total, the total number of ways to answer the exam is calculated by raising 2 to the power of 15.
Mathematically, it can be expressed as:
Total number of ways = 2^15
Calculating 2^15 gives us the answer:
2^15 = 32,768
Therefore, there are 32,768 different ways to answer a 15-question true-false exam.