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A certain restaurant allows you to assemble your own vegetable salad. If there are 8 kinds of vegetables available, how many variations of the salad can you make containing at least 5 vegetables?

Answer :

Final answer:

To calculate the number of variations of the salad, we can use the concept of combinations. The total number of variations of the salad is 93.

Explanation:

To calculate the number of variations of the salad, we can use the concept of combinations. Since we want at least 5 vegetables in the salad, we can consider the number of vegetables as 5, 6, 7, or 8. Let's calculate the number of variations for each case:

If we choose 5 vegetables out of 8, the number of variations is 8 choose 5 (written as C(8, 5)) = 56.

If we choose 6 vegetables out of 8, the number of variations is 8 choose 6 (written as C(8, 6)) = 28.

If we choose 7 vegetables out of 8, the number of variations is 8 choose 7 (written as C(8, 7)) = 8.

If we choose all 8 vegetables, there is only one variation. So, the total number of variations of the salad is 56 + 28 + 8 + 1 = 93.

Learn more about Combinations here:

https://brainly.com/question/19692242

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