How many ways can a 5 question quiz with 4 multiple choice questions be answered

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Given, each question on a five-question multiple-choice quiz has answer choices labelled A, B, C, and D. It is to be determined how many different ways can a student answer the five questions.

There are 4 ways to choose among the 4 different answer choices.

And there are 5 questions i.e., each of the 5 question has 4 choices.

By the Fundamental Counting Principle, there are different ways a student can answer the five questions.

Hence, by Fundamental Counting Principle, there are 1024 different ways a student can answer the five questions.

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For each slot, you have 5 choices. Since there are 5 slots (and you can repeat choices), this means that you have 5*5*5*5*5 = 5^5 = 3125 different ways to answer this quiz.

Answer: The quiz can be answered in _3125_ ways.