Question

Asked Feb 10, 2019

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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 *k ^{n}.*

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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