Question

Assignment: Counting Investigation Dakota and Karen noticed that there were a bunch of combinations available in their school cafeteria. Think about a meal at your school, or maybe a favorite restaurant. How many combinations of choices do you have? Create a tree diagram listing the possible combinations, and count the results. 1. For what will you find the number of combinations? ______________________________________________________________________________________________________________________ 2. List at least three categories to consider. ______________________________________________________________________________________________________________________ 3. List the choices within each category. ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ 4. Assign each choice a symbol. Ex. juice = (diamond shape) ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ 5. Create a tree diagram to determine the number of combinations available. 6. List all possible combinations and count the total number of possibilities. ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Answer 1

Hi there! Hopefully this helps!

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Q1: (For what)"Will you find the number of combinations?"

Answer: (I unfortunately don't understand this very well so I'm giving it my best, and take this with a grain of salt.) I will be able to find combinations using a school cafeteria!

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Q2: "List at least three categories to consider."

My choices:

Answer: Fruits, Vegetables, Protein.

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Q3: "List the choices within each category."

Answer:

Fruits: Apples, Bananas, and Grapes.

Vegetables: Cauliflower, Carrot, and Corn.

Protein: Green beans, Salmon, and Almonds.

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Q4: "Assign each choice a symbol. Ex. juice = (diamond shape)"

Answer:

Fruits: Apples, Bananas, and Grapes.

Vegetables: Cauliflower✨, Carrot, and Corn.

Protein: Green beans, Salmon, and Almonds.

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Q5: "Create a tree diagram to determine the number of combinations available."

(I'm not very familiar with a tree diagram so here is my interpretation at the bottom.)

(You can rewrite this and do it your way if you want).

Q6: "List all possible combinations and count the total number of possibilities."

There are 27 combinations possible!

All of my possible combinations:

1. Apples, Cauliflower, Green beans.
2. Apples, Cauliflower, Salmon
3. Apples, Cauliflower, Almonds.
4. Bananas, Cauliflower, Green Beans.
5. Bananas, Cauliflower, Salmon.
6. Bananas, Cauliflower, Almonds.
7. Grapes, Cauliflower, Green bean.
8. Grapes, Cauliflower, Salmon.
9. Grapes, Cauliflower, Almonds.
10. Apples, Carrot, Green beans.
11. Apples, Carrot, Salmon.
12. Apples, Carrot, Almonds.
13. Bananas, Carrot, Green beans.
14. Bananas, Carrot, Salmon.
15. Bananas, Carrot, Almonds.
16. Grapes, Carrot, Green beans.
17. Grapes, Carrot, Salmon.
18. Grapes, Carrot, Almonds.
19. Apples, Corn, Green beans.
20. Apples, Corn, Salmon.
21. Apples, Corn, Almonds.
22. Bananas, Corn, Green beans,
23. Bananas, Corn, Salmon.
24. Bananas, Corn, Almonds.
25. Grapes, Corn, Green Beans.
26. Grapes, Corn, Salmon.
27. Grapes, Corn, Almonds.

The last image below is for Qestion 5.