Question

I need help please and thank you

Answer 1

6

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,
`$ ^(n) \textrm{C}_(k) = ^(4) \textrm{C}_(2)`

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

Substituting, we get:

`$ ^(4) \textrm{C}_(2)  = (4!)/(2!(4 - 2)!)`

=
`$ = (4!)/(2!. 2!) = (24)/(4) $`

= 6

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