Factorials and Binomial Theorem: Tutoring Solution Chapter Exam

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!

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Question 1 1. 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 2 2. Solve the following equation: 8!/(4!*2!).

Question 3 3. Mrs. Thompson has 30 students and only 2 of those students will be picked to go to a regional spelling bee. What is the proper factorial set-up that will help her determine the number of possible student combinations she have?

Question 4 4. 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 5 5. What does step 2 of the Binomial Theorem tell us to do with the first term of the binomial?

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Question 6 6. How do you know which row of Pascal's Triangle to use for your skeleton?

Question 7 7. If you were making a playlist of 5 songs, how many ways could you order the songs?

Question 8 8. What would your answer be if you were given the following equation: (n+4)!/(n+1)!

Question 9 9. Which expression is equivalent to 3 x 6 x 4 x 2 x 5 ?

Question 10 10. Use the binomial theorem to fill in your skeleton and find the expanded binomial of (3x+1)^4.

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Question 11 11. Which of the following lists of numbers shows the fourth row of Pascal's Triangle?

Question 12 12. What does the fundamental counting principal say?

Question 13 13. What is a binomial?

Question 14 14. Evaluate 6!

Question 15 15. Multiply 5! by 6!.

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Question 16 16. What is the fourth term of the expanded polynomial of (5x-4)^7?

Question 17 17. What does having a negative second term do to your expanded polynomial?

Factorials and Binomial Theorem: Tutoring Solution 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!

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