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  • A 10-question multiple-choice test has 4 options for each question. In how many different ways can a student answer the entire test?  <div class='qna-o

A 10-question multiple-choice test has 4 options for each question. In how many different ways can a student answer the entire test?

 

Option: 1

1,250,000

 


Option: 2

1,896,520

 


Option: 3

1,850,689

 


Option: 4

1,048,576


Answers (1)

best_answer

For each question on the multiple-choice test, the student has 4 options to choose from. Since there are 10 questions in total, the student needs to make a choice for each question.

To calculate the total number of different ways the student can answer the entire test, we need to consider that for each question, there are 4 options.

Since each question is independent, we can multiply the number of options for each question to find the total number of possible combinations:

\mathrm{ 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4=4^{10}=1,048,576 }

Therefore, there are 1,048,576 different ways a student can answer the entire 10-question multiple-choice test.

Posted by

Gautam harsolia

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