2. Suppose you are making some soup. You have 7 types vegetables in front of you (one serving of each) and you want to include 4 of them in your soup (each being different). How many ways are there to do this?

Respuesta :

3 different ways to do it.

Using the combination formula, it is found that there are 35 ways to do this.

The order in which the vegetables are included is not important, thus, 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 as follows:

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

In this problem, 4 vegetables from a set of 7, thus:

[tex]C_{7,4} = \frac{7!}{4!(7-4)!} = 35[/tex]

There are 35 ways to do this.

A similar problem is given at https://brainly.com/question/24278448