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At the ice cream shop, there are 26 flavors of ice cream on the menu.

(a) How many ways can you select a bowl of 3 scoops of ice cream if each scoop is a different flavor?

Answer :

Final answer:

This question is about calculating combinations in mathematics. You can use the combination formula to find the number of ways to choose 3 different flavors from 26 ice cream flavors. The answer is 2600 combinations.

Explanation:

The subject here is regarding combinations in mathematics, particularly calculating the number of ways to combine different items - in this case, ice cream flavors. The situation describes choosing 3 flavors out of a total of 26, with each scoop being a different flavor. This situation is an example of a combination, as order does not matter here; it doesn't matter which flavor is chosen first, second or third, they will all end up in the same bowl.

To solve this type of problem, you would use the combination formula: C(n, r) = n! / [r!(n-r)!], where n is the total number of options, r is the number of options chosen, and '!' indicates factorial. Substituting the numbers from the problem, the formula is C(26, 3) = 26! / [3!(26-3)!]. After calculating, the result is 2600, meaning there are 2600 different combinations of 3 flavors that can be chosen from the 26 available.

Learn more about Combinations here:

https://brainly.com/question/30646507

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