## Question

# 1. Let P(x) be the statement x = |x|. If the domain consists of The integers, what are the truth values? Why? 2. A coin

1. Let P(x) be the statement "x = |x|." If the domain consists of

The integers, what are the truth values? Why?

2. A coin is flipped 5 times where each flip comes up either heads or tails. How many possible outcomes:

a. Are there in total?

b. Contain exactly three heads?

3. Assuming that in a box there are 10 black socks and 12 blue socks, calculate the maximum number of socks needed to be drawn from the box before a pair of the same color can be made. Use the pigeonhole principle.

4. Give an example of a function which is NOT onto ** **

## a. P(2) b. P(1) c. P(0) d. Vx P(x) e. Ex P(x)

## Step by Step Solution

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There are 3 Steps involved in it

### Step: 1

1 a P2 is true since 2 2 b P1 is true since 1 1 c P0 is tr...### Get Instant Access to Expert-Tailored Solutions

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Get Started## Recommended Textbook for

### Discrete Mathematics and Its Applications

**Authors:** Kenneth H. Rosen

7th edition

0073383090, 978-0073383095

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