Answered

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Sofia's taco truck lets customers choose 3 ingredients from the list below to add to their tacos. How many groups of 3 different ingredients can go on a taco?

Sagot :

Using the combination formula, and considering that the list has 6 ingredients, it is found that 20 groups of 3 different ingredients can go on a taco.

The order in which the ingredients are chosen is not important, hence, the combination formula is used to solve this question.

Combination formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 3 ingredients are chosen from a set of 6, hence:

[tex]C_{6,3} = \frac{6!}{3!3!} = 20[/tex]

20 groups of 3 different ingredients can go on a taco.

To learn more about the combination formula, you can take a look at https://brainly.com/question/25990169

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