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. How many 3 permutations are there on the set { 1, 2, 3, 4, 6 }
2. How many 4 sequences are there on the { 1, 2, ….. 8 } that start with 2?
3. How many menus are possible choosing 1 of 4 entrees, 2 of 3 appetizers, and 2 of 5 desserts?
4. Complete the truth table
P Q ~ P P ∨ Q ~ P ∧ ( P ∨ Q )
T T
T F
F T
F F
5. Prove by direct proof that the sum of two odd numbers “x” and “y” is even.
6. Of the 20 students that took the quiz,
12 got question 2 correct, 8 got question
3 correct, and 5 got both correct. How many
got neither correct?
7. 50 people took a survey. 27 said they liked football, 22 liked baseball. 23 liked soccer, 10 liked football and baseball, 6 liked baseball and soccer, 11 liked football and soccer, and 4 liked all three. How many like baseball, but not football? ( Use a Venn diagram to solve )
8. For problems # 11 – 12, Let A = { 0, 2, 4, 8 } B = { 1, 2, 3, 4, 5 } C = { 1, 3, 5, 7, 9 }
11. A ∪ B = ? 12. ( A
