# Each of the 10 questions on a multiple-choice exam has four possible answers. How many differentways are there for a student to answer the questions? Assume that every question must be answered.

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Each of the 10 questions on a multiple-choice exam has four possible answers. How many different
ways are there for a student to answer the questions? Assume that every question must be answered.

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Step 1

Multiplication rule for counting:

Consider the total number of events in a sequence is n.

The number of different possibilities for each event is k.

Therefore, the total number of possibilities of the sequence is kn.

Step 2

Find the number of different ways for a student to answer the questions:

Let the total number of questions that have to be answered by student is n = 10.

Let the possible number of answers for each questi...

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