# Algebra II: Combinatorics 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. For each day of one school week, Mrs. Hudson gives her students a quiz in either math, science, or history. How many different combinations of quizzes are possible for the week?

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Question 2
2.
Solve the expression 5*P*4 (*P* = permutation )

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Question 3
3.
Solve the expression 7*P*2 (*P* = permutation)

#### Question 4 4. The local bowling team plays in a 7-team league where each team plays other teams 4 times in a season. How many different games will be played in a season?

#### Question 5 5. Sam has to find one more pair of cards to win a memory game. Of the cards left, two show apples, two show oranges, and two show grapes. What are the odds of Sam turning over two cards and getting two cards with grapes?

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#### Question 6 6. At Peter's Pizzeria, you can create your pizza choosing from 3 toppings, 3 cheese combinations, and 4 sizes. What are the events in this scenario?

#### Question 7 7. Jane is attempting to unlock her locker but has forgotten her locker combination. The lock uses 3 numbers and includes only the numbers 1 to 9. Each of the digits also can not be repeated in the combination. How many possible locker combinations can be formed?

#### Question 8 8. What are the odds of someone choosing a circle, a triangle, and a square in that order from the following group of shapes?

#### Question 9 9. All of the letters of MISSISSIPPI are put in a bag. What is the probability of selecting an M and then after not replacing the letter, selecting a P?

#### Question 10 10. Solve 8! (the factorial of 8)

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#### Question 11 11. Paul wants to play quarterback for his football team, but that decision depends on who serves as head coach for a given game. Coach Smith is head coach about 60 percent of the time, and Coach Brown is head coach the other 40 percent. Coach Brown has faith in Paul, so he starts him at quarterback in 80 percent of the games he coaches. Coach Smith, though, isn't so sure, so he starts Paul at quarterback 40 percent of the time. What's the probability of Paul starting as quarterback for the next game?

#### Question 12 12. Solve the following combination:

#### Question 13 13. Mr. Garcia always dresses in a shirt, slacks, and dress shoes. There are 64 different outfits he can make with them. If he has 8 shirts and 2 pairs of shoes, then how many pairs of slacks does he have?

#### Question 14 14. Using a standard deck of cards (which has 26 red cards and 26 black cards, with 13 cards of every suit), what is the probability of selecting a red card, and then after replacing the card, selecting a heart card?

#### Question 15 15. If you roll a die three times, what is the probability of rolling only even numbers?

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#### Question 16 16. Mrs. Jones has four children: two boys and two girls. How many different combinations of boys and girls could she have had and still have ended up with four children?

#### Question 17 17. How would you determine the total number of possible combinations in a situation using the fundamental counting principle?

#### Question 18 18. A car lot has 50 Model A cars, 20 Model B cars, and 5 Model C cars. Joe has to sell 1 more Model A car and 1 more Model C car to get a bonus. What are the chances of this occurring if he sells only two more cars?

#### Question 19 19. Solve the Combination

#### Question 20 20. Solve 8! (factorial)

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#### Question 21 21. All of the letters that spell MISSISSIPPI are put into a bag. What is the probability of selecting a vowel, and then after replacing the letter, also drawing an S?

#### Question 22 22. Jimmy is making multi-flavored ice cream cones by scooping in different flavors one at a time. Jimmy has 6 different flavors but can only put 3 flavors in each cone. The order of the flavors is important to him as it affects how he tastes each ice cream. How many different arrangements of cones can Jimmy make?

#### Question 23 23. Calculate 4! (factorial)

#### Question 24 24. Solve the following combination:

#### Question 25 25. Amanda has room in her rented limousine to take two of her friends while she celebrates her birthday. Her best friends are Barbara, Samantha, Rachel, and Kim. She chooses names randomly to not hurt anyone's feelings. What are the chances she'll take Rachel and Kim?

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#### Question 26 26. Using a standard deck of 52 cards, what is the probability of selecting a 4 and then after not replacing the card, selecting another 4?

#### Algebra II: Combinatorics 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!