Question

A multiple choice test consists of 15 questions, each with answers (a), (b), (c), (d), and (e). In how many ways could a student fill in the answers if they answer every question?

Answer 1

There are 30,517,578,125 ways a student can fill in the answers if they answer every question on the multiple choice test.

Step-by-step explanation:

For each question on the multiple choice test, there are 5 possible choices (a, b, c, d, and e). Since there are 15 questions in total, the student has 5 choices for the first question, 5 choices for the second question, and so on. To find the total number of ways the student can fill in the answers, we multiply the number of choices for each question together:

5 × 5 × 5 × ... × 5 (15 times) = 515 = 30,517,578,125

Therefore, there are 30,517,578,125 ways a student can fill in the answers if they answer every question.