Review — Difficulty 2/10

Graph theory & combinatorics · Graph fundamentals

Review skills for this standard. Write answers where shown.

Together with a parent

1. How many subsets does a set with 8 elements have? ___ 2. Prove or disprove: if n is even, n² is even. 3. P(at least one head in 7 fair tosses) = ___

Written review

1. How many subsets does a set with 10 elements have? ___ 2. Prove or disprove: if n is even, n² is even. 3. P(at least one head in 9 fair tosses) = ___ 4. Write the recurrence aₙ = 9aₙ₋₁ with a₀ = 1 ___ 5. Graph with 11 vertices — minimum edges for connectivity? ___ 6. Convert 49₁₀ to base 10. = ___

_See printable PDF for diagram._

___________________________ ___________________________ ___________________________ ___________________________ ___________________________

Skills checklist

• [ ] Applies counting principles correctly
• [ ] Writes structured proofs

___________________________ ___________________________ ___________________________ ___________________________