To determine the correct possible values of [tex]\($\)[/tex] for [tex]\(n = 2\)[/tex], let's consider the given options.
1. Option 1: 0
This implies that [tex]\($\( can only be 0 when \(n = 2\)[/tex]. However, it seems too restrictive given that other positive integers might also be valid.
2. Option 2: 0, 1
This implies that [tex]\($\ can take the values 0 and 1 when \(n = 2\)[/tex]. Still, it does not seem exhaustive enough.
3. Option 3: 0, 1, 2
This set includes all integers from 0 up to the value of [tex]\(n = 2\)[/tex]. It looks comprehensive and reasonable since it includes a range that spans from 0 to [tex]\(n\)[/tex].
4. Option 4: 0, 1, 2, 3
This set includes integers up to 3, which goes beyond the value of [tex]\(n = 2\)[/tex]. Thus, 3 should not be included if we are only considering up to [tex]\(n\)[/tex].
Given these considerations, the set of numbers that gives the correct possible values for [tex]\($\)[/tex] when [tex]\(n = 2\)[/tex] is:
[tex]\[0, 1, 2\][/tex]
Thus, the correct answer is [tex]\(\boxed{0, 1, 2}\)[/tex].
