Question

how to solve this problem : A veggie wrap at City Subs is composed of four different vegetables into 2 different condiments wrapped up in a tortilla. If there are 7 vegetables, 5 condiments, and six types of tortilla available, how many different veggie wraps can be made?

Answer 1

2100 different veggie wraps

Step-by-step explanation:

We have 7 different vegetables, out of which we are choosing 4; therefore, the number of ways we can choose 4 out of 7 in unique ways is

`C(7,4)=(7!)/((7-4)!4!)=35`

Now for condiments, a veggie wrap uses two different condiments, therefore, the number of ways we can choose 2 out of 5 is

`C(5,2)=(5!)/((5-2)!2!)=10`

And we have 6 types of tortillas.

Therefore, the number of different veggie wraps that can be made is

`35*10*6=2100`

In other words, 2100 different veggie wraps can be made.