Question

A multiple choice test has 12 questions, with each question having five choices. The number of different ways a student can answer the 12 questions is ________.

1)128
2)480
3)792
4)95,040

Answer 1

A multiple choice test has 12 questions, with each question having five choices. The number of different ways a student can answer the 12 questions is 4) 95,040

Step-by-step explanation:

To determine the number of different ways a student can answer the 12 questions on the multiple-choice test, we use the multiplication principle. For each question, there are five choices. Since each question is independent, we multiply the number of choices for each question together.

5 * 5 * 5 * ... * 5 (12 times)

This can be represented as 5^12, where 5 is the number of choices for each question, and 12 is the total number of questions.

Calculating
`5^{12` gives us 95,040.

Therefore, the correct answer is 4) 95,040. This represents the total number of different ways a student can answer the 12 questions on the multiple-choice test