# Probability Mechanics Chapter Exam

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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Question 1
1.
The number of ways you can arrange your 25 books on a bookshelf can be written as 25!

Which of the following statements is FALSE.

#### Question 2 2. If there are 8 people in a race, but one person is injured and will definitely come in last, how many different ways could the competitors finish?

#### Question 3 3. If you were making a playlist of 5 songs, how many ways could you order the songs?

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Question 4
4.
Simplify:

10!/8!

#### Question 5 5. Use the Binomial Theorem to find (x+y)^4

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#### Question 6 6. What does step 2 of the Binomial Theorem tell us to do with the first term of the binomial?

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Question 7
7.
Simplify:

0!

#### Question 8 8. Evaluate 6!

#### Question 9 9. What is a binomial?

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Question 10
10.
The fourth row in Pascal's triangle is:

1 4 6 4 1

What is the fifth row?

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#### Question 11 11. Which expression is equivalent to 3 x 6 x 4 x 2 x 5 ?

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Question 12
12.
Simplify:

4!

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Question 13
13.
You and your buddies are racing your pet squirrels. There are five of you and you each have 1 squirrel. You label your 5 squirrels with the letters A through E.

What is the total number of possible ways the squirrels could finish the race (assuming none of them escapes and they all run to the finish line)?

For example, here is one possible way the race could end:

ACBED

And here is another:

CBAED

How many ways are there altogether?

#### Question 14 14. Which of the following lists of numbers shows the fourth row of Pascal's Triangle?

#### Question 15 15. When is the Binomial Theorem used?

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#### Question 16 16. What does the fundamental counting principal say?

#### Question 17 17. Which of the following could NOT be expanded using the Binomial Theorem?

#### Question 18 18. Stephen decided to make a list of his top 5 movies of all time. If he has it narrowed down to 20 movies, how many different lists could he make?

#### Question 19 19. Select the BIGGEST value.

#### Probability Mechanics Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!