Answered

Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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