Table of Contents

- 1 How many different ways can you answer 6 multiple choice questions if each question has 4 possible responses?
- 2 How many ways can a 6 question multiple choice quiz be answered?
- 3 What is the probability of answering a multiple-choice question correctly?
- 4 How many ways can you guess exactly 5 correct?
- 5 How many ways are there to answer 15 true false questions?

## How many different ways can you answer 6 multiple choice questions if each question has 4 possible responses?

There would be 4,096 different possible answer keys to the test described.

### How many ways can a 6 question multiple choice quiz be answered?

In each question you have two options, T and F. Then in 6 questions you have 2 options for the first, two for the second, two for the third… At the end you get 2·2·2·2·2·2 = 26 options and 26 = 64.

#### What is the probability of answering a multiple-choice question correctly?

However I can tell you that the probability of passing an exam by guessing on a typical multiple choice exam is 1/4=0.25=25\%, given that there are 4 options for each question. This is because there is only one correct answer out of four answers for each question.

**How many possible answers are there to a multiple choice quiz?**

A multiple-choice quiz has 8 questions, each with 4 possible answers, and only one correct answer. If chosen at random, what is the probability that at least 3 answers will be guessed correctly?

**How many ways can you select 4 questions from among 10?**

It is assumed that questions each have 4 answers of which only 1 is correct and 3 are incorrect. Ways to select 4 questions from among 10 = 10!/ (6!) (4!) = 210. In how many ways can 20 multiple choice questions of 4 choices each be answered?

## How many ways can you guess exactly 5 correct?

Guess the wrong answer for the second wrong one 3 ways. That’s 15�3�3 = 135 ways Case 3: Guessing exactly 5 correct: Choosing exactly 5 to get correct = Choosing exactly 1 wrong = 6C1 = 6 ways. Guess the wrong answer for the wrong one 3 ways.

### How many ways are there to answer 15 true false questions?

There are 2 ways to answer each true-false question, and 4 ways to answer each multiple choice. Each answer is independent. So there are 2^15 ways to answer 15 true false questions. There are 4^5 ways to answer 5 multiple choice questions.