Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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