A salad bar has 7 ingredients , excluding the dressing .How many different salads are possible where two salads are different if they don't include identical ingredients ?

Options

A. 7
B. 14
C. 128
D. `5,040`

Explanation

To solve the problem of how many different salads can be made from 7 ingredients, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Ingredients**:
We have 7 ingredients available for the salad. Let's denote them as A, B, C, D, E, F, and G.

2. **Consider Each Ingredient**:
For each ingredient, we have two choices: either we include the ingredient in the salad or we do not include it.

3. **Calculate the Total Choices**:
Since there are 7 ingredients and each ingredient has 2 choices (included or not included), we can represent this situation mathematically. The total number of combinations of ingredients can be calculated as:
\[ \text{Total combinations} = 2^{\text{number of ingredients}} = 2^7 \]

4. **Compute the Value**:
Now we need to compute \(2^7\):
\[ 2^7 = 128 \]

5. **Conclusion**:
Therefore, the total number of different salads that can be made from the 7 ingredients is 128.

### Final Answer:
The total number of different salads possible is **128**.

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