Respuesta :

Answer:

6

Step-by-step explanation:

There are four different kinds of meat items in the menu.

And we are asked for the combination of 2.

So, here n = 4 and k = 2.

That is from 4 we choose 2. Hence, [tex]$ ^{n} \textrm{C}_{k} = ^{4} \textrm{C}_{2}[/tex]

We have the formula: [tex]$ ^{n} \textrm{C}_{k} = \frac{n!}{k!(n - k)!} $[/tex]

Substituting, we get:

[tex]$ ^{4} \textrm{C}_{2}  = \frac{4!}{2!(4 - 2)!}[/tex]

= [tex]$ = \frac{4!}{2!. 2!} = \frac{24}{4} $[/tex]

= 6

Hence, there are six ways in which the meat combos  can be made.