<p>The numbers of subsets that can be formed from the set \(A = \{4, 5, 6\}\) are</p>
Step-by-Step Solution
Key Concept: For a finite set with n elements, the total number of subsets (including the empty set and the set itself) is 2^n, derived from the fact that each element has exactly 2 choices: either included or excluded from a subset.
<p><strong>Step 1:</strong> Identify the set A = {4, 5, 6} which has n = 3 elements.</p><p><strong>Step 2:</strong> Apply the formula for total number of subsets: For a set with n elements, the number of subsets = 2^n</p><p><strong>Step 3:</strong> Calculate: Number of subsets = 2³ = 8</p><p><strong>Step 4:</strong> Verify by listing all subsets: ∅, {4}, {5}, {6}, {4,5}, {4,6}, {5,6}, {4,5,6}</p><p>∴ Answer: C (which is 8)</p>
Correct Answer: C