1. TEST REVIEW
Honors Math 2

2. For her aquarium, Susan can choose from 4 types of fish and 3 types of plants and 2 colors of rocks. If she chooses one type of fish, one type of plant and 1 color of rock, how many different aquariums can Susan set up?

3. Lottery numbers in a particular state consist of 6 digits
Lottery numbers in a particular state consist of 6 digits. Each lottery ball that is drawn has six sides, numbered 1–6. How many different lottery numbers are possible?

4. 100 students were interviewed 28 took PE, 31 took BIO, 42 took ENG, 9 took PE and BIO, 10 took PE and ENG, 6 took BIO and ENG, 4 took all three subjects. How many took none of these?

5. Vince chooses 3 side dishes from a total of 10 side dishes offered on the menu. In how many different ways can he choose his side dishes?

6. There are 17 students in Ms. Istock’s math class
There are 17 students in Ms. Istock’s math class. In how many ways can she choose 6 students to put a problem on the board?

7. How many different 6-digit passwords can be made if the first character must be a letter and the other 5 must be numbers from 0 to 9 with no repetition?

8. How many ways can Emily Grace arrange 8 charms on her bracelet if the bracelet has no clasp?

9. How many different ways can I arrange the letters in the word SWEATSHIRT?

10. The creative writing club is having a short story contest
The creative writing club is having a short story contest. All 10 of the members enter the contest. In how many ways can the sponsors choose a first, second, and third place winner?

11. Of the 220 people who came into the Italian Deli on Friday, 104 bought pizza and 82 used a credit card. Half of the people who bought pizza used a credit card. How many people used a credit card but did not buy pizza?

12. The chorus class has 20 members, 13 of which are girls and 7 are boys
The chorus class has 20 members, 13 of which are girls and 7 are boys. The chorus teacher must choose 8 members to represent the school in the regional competition. In how many ways can the teacher choose the group if there must be 4 boys and 4 girls?

13. There are 3 Calculus books and 5 Statistics books on a shelf, how many ways can they be arranged if the Stats books must be together?

14. How many ways can 4 boys and 4 girls sit in a row if they must sit alternately?

15. How many ways can 6 people sit at a round table if the married couple must sit next to each other?

16. 90 students went to a school carnival
90 students went to a school carnival. 3 had a hamburger, soft drink and ice-cream had hamburgers. 5 had a hamburger and a soft drink. 33 had soft drinks. 10 had a soft drink and ice-cream. 38 had ice- cream. 8 had a hamburger and ice-cream. How many had nothing?

17. A password has 3 letters and two digits
A password has 3 letters and two digits. How many different passwords ware possible if repetition is allowed and there are no restrictions on letter/number usage?

18. How many ways can I award 1st, 2nd, and 3rd place in a beauty pageant if there are 9 contestants?

19. How many ways can I arrange 5 charms on a bracelet if it has a clasp?

20. Solve: 2P(n,2)=P(n,3)

21. Ms. Weidner has 4 necklaces, 2 rings, and 7 pairs of earrings
Ms. Weidner has 4 necklaces, 2 rings, and 7 pairs of earrings. How many different ways can she accessorize if she wears one of each?

22. Mrs. Weidner and her husband are taking a picture with her 7 other family members. How many ways can they arrange themselves for the picture if Mrs. Weidner and her husband must stay together?

23. How many ways can I pick 4 people to clean the classroom out of the 25 in the class?

24. Solve the following: n!/(n-2)!=930

25. How many ways can we vote on a president, vice-president, secretary, and treasurer out of a club of 16 members?

26. Solve: (n+1)!=6(n-1)!