Description

• Copy this file to your own computer and simply add your own name and answers.
• Delete this itemized list from your solutions.
• Submit both your hw01.tex file and your hw01.pdf file. Do NOT zip or combine them into a single file.
• To make grading easier, please leave the question with the answer.
• Show your work and explain your answer. If the answer is an integer, I need to know how you got it.
1. Explicitly write out the contents of the following set:
{X ∈P({1,2,3}) : 2 ∈ X}
Answer:
2. Negate the following statement:
If x is a rational number and x 6= 0, then tan(x) is not a rational number.
Answer:
3. Compute how many 7-digit numbers can be made from the digits 1,2,3,4,5,6,7 if there is no repetitionand the odd digits must appear in an unbroken sequence. Examples: 3571264 or 2415376 or 2467315, but not 7234615.
Answer:
4. This problem concerns 4-card hands dealt off a standard 52-card deck. How many 4-card hands arethere for which all 4 cards are of different suits or all 4 cards are red?
Answer:
1