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Combinations (Grade 9)

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Combinations

Instructions: Solve each of the following combination problems. Be sure to show all work for open response problems.

1. 
Sarah has 3 skirts (black, white and blue) and 3 blouses (red, green and yellow). How many different outfits can she make if each outfit has one skirt and one blouse.
  1. 9
  2. 6
  3. 5
  4. 3
2. 
At the movie theater, Dave can pick from 7 movies and 16 snack options. If Dave chooses to watch 1 movie and buy 1 snack, how many combinations are there?
  1. 2
  2. 23
  3. 56
  4. 112
3. 
Stonecroft High School offers 5 fall sports, 4 winter sports, and 6 spring sports for students to pick from. Grace plans on participating in 1 sport each season. How many different combinations of sports teams can she pick from?
  1. 15
  2. 24
  3. 120
  4. 720
4. 
Rayne's school offers:

Drum, flute, and piano lessons;
A play and a musical each year;
Chess club, science club, and art club.

This year Rayne wishes to take lessons for 1 instrument, participate in either the play or musical, and join 1 club. How many different combinations of activities can she choose from?
  1. 8
  2. 9
  3. 12
  4. 18
5. 
During summer vacation, Carlos has the option of attending summer camp for a week, working at a grocery store, volunteering in his community, and taking driver's education. If Carlos can decided to do all, some, or none of these activities over his summer vacation, how many different combinations are there from which can he select?
  1. 14
  2. 16
  3. 20
  4. 24
6. 
Find the number of possible outcomes.

Pick one card from each of two piles. One pile has the cards labeled F, I, T, P, N, C, and O. The other has the cards labeled A, R, S, and O.



7. 
Find the number of possible combinations.

Choose one of 3 books and one of 8 CDs to bring on a bus trip.



8. 
Carla's restaurant offers three kinds of salads, twelve kinds of entrees, and four kinds of desserts. How many different 3-course meals can be served?



9. 
The ice cream truck offers 10 flavors of ice cream, 4 types of cones, and 16 topping. How many different combinations can you make?



10. 
Kelsey has the option of doing an extra credit project in each of her 6 classes. She can choose to complete all, some, or none of the projects. How many different combinations of projects she can choose to complete?



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