Discrete Mathematics Answers

Determine whether each of these functions is a bijection from R to R.

f(x)=2x+1

f(x)=x^2+1 

Yesterday, Allan, Berto, and Carlo are playing guess that day. Berto and Carlo gives Allan clues and fake clues. Berto said today is Friday, but Carlo said its Saturday. Allan asked what day is it tomorrow? Carlo said its Monday while Berto said its Tuesday. Allan asked again, what day was it yesterday? Berto said Wednesday, while Carlo said its Thursday. Berto and Carlo have given one correct clue and two fake clues. What day is it today?

Writing set into a form of {x | P(x) }

1. {2,4,6,8,10}

2. {a,e,i,o,u}

3. {1,8,27,64,125}

4. {-2,-1,0,1,2}

If A = {3,7,12} Find:

5. |A|

6. P(A)

7. | P(A) |

Construct two different assignments that are functions. The functions should be represented by means of ordered pairs graphically.

Construct domain, codomain and range(image) of each function.

Inclusion-Exclusion Principle

A group of 191 students, which are taking French, business and music; 36 are taking French and business; 20 are taking French and music; 18 are taking business and music; 65 are taking French, 76 are taking business and 63 are taking music. 

-How many are taking French and music but not business?

- How many are taking business and neither French nor music?

- How many are taking French or business (Or both?)

-How many are taking music or french (or both) but not business?

- How many are taking none of the three subjects?

determine whether {2} and 2 is an element of {{2}, {2,{2}}

Consider set s={1,2,3,9,6,18,} and the relation <= is x divides y,then draw the hasse diagram for Posey(s,<=)?

In how many ways the word scooter be arranged when repetition is not allowed.

TRUTH TABLES: MAKE A TRUTH TABLE FOR EACH OF THE FOLLOWING STATEMENT

1. p ∧ q 3 points

2. p ∨ q 3 points

3. p∨~q 4 points

Find the negation of each: 1.

∃

x ( (x+3=2) ^ (x

-

2 =1))