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The cafeteria is serving three kinds of sandwiches: tuna (T), chicken (C), and peanut butter (P). They are also serving a choice of two drinks: milk (M) or water (W). Which shows the complete set of possible combinations?

A. T-W, T-M, C-W, C-M, P-W, P-M
B. T-M, T-W, C-W, C-M, P-W
C. T-W, T-M, C-W, P-W, P-M
D. T-M, T-W, C-W, C-M, P-W, P-M

Sagot :

GinnyAnsweridn
To determine the complete set of possible combinations of sandwiches and drinks, follow these steps:

1. List the types of sandwiches: We have three types of sandwiches:
- Tuna (T)
- Chicken (C)
- Peanut butter (P)

2. List the types of drinks: We have two types of drinks:
- Milk (M)
- Water (W)

3. Formulate all combinations: We can match each type of sandwich with each type of drink. To do this, we need to consider every sandwich and pair it with every drink.

Let's do this step by step:

- Pair the Tuna (T) sandwich with each type of drink:
- T and M: TM
- T and W: TW

- Pair the Chicken (C) sandwich with each type of drink:
- C and M: CM
- C and W: CW

- Pair the Peanut Butter (P) sandwich with each type of drink:
- P and M: PM
- P and W: PW

Putting all the combinations together, the complete set of possible combinations is:
- TM
- TW
- CM
- CW
- PM
- PW

Therefore, the correct and complete list of possible combinations is:
```
['TM', 'TW', 'CM', 'CW', 'PM', 'PW']
```

Explanation:
- TM: Tuna sandwich with Milk
- TW: Tuna sandwich with Water
- CM: Chicken sandwich with Milk
- CW: Chicken sandwich with Water
- PM: Peanut butter sandwich with Milk
- PW: Peanut butter sandwich with Water

This list represents all the possible combinations of the sandwiches and drinks available in the cafeteria.
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