Suppose f: integer(z) to integer(z) is a function with the property that f(a+b) = f(a) + f(b) for every two integers a and b. Prove that if f(c) is even for some odd integer c then f(x) is...

Suppose f: integer(z) to integer(z) is a function with the property that f(a+b) = f(a) + f(b) for every two integers a and b. Prove that if f(c) is even for some odd integer c then f(x) is...

Suppose f: integer(z) to integer(z) is a function with the property that f(a+b) = f(a) + f(b) for every two integers a and b. Prove that if f(c) is even for some odd integer c then f(x) is...

Negation.

What is the slope-intercept form of the equation of the line through the given points.

Our Indiscrete Mathematics course has: 18 students from the the College of Arts, 12 of whom are female; 27 students from the the College of Engineering and Informatics, 10 of whom are female; 30...

The one-to-one functions g and h are defined as follows. g= {(-6,-3), (0,9), (3,0), (6,4), (7,1)} h(x)= 3x +10 Find the following. g^-1 (0) = ____ h^-1(x)...

3. Use the set {0,1,2, 3} to create three digits numbers, determine the number for which: (1) Even (How many even numbers are there?) (2) Less than 300 (3) Greater than...

discrete mathematic

5.:Let f: X →Y be a function.True or False?A sufficient condition for f to be one-to-one is that for all elements y in Ym there is at most one x in X with f(x)= y.

A multiple choice test consists of four questions, each of which has five choices. Each question has exactly one correct answer. William guesses randomly at each answer. What is the probability...

In a class of 60 students, everyone has either a pierced nose or a pierced ear. The professor asks everyone with a pierced nose to raise his or her hand. Eight hands go up. Then the professor asked...

A multiple choice test consists of four questions, each of which has five choices. Each question has exactly one correct answer. William guesses randomly at each answer. What is the probability...

Refer to Example 4.40. An urn contains six red balls, six white balls, and six blue balls, and sample of four balls is drawn at random without replacement. Compute the probability that all...

Discrete math

How many ways are there to assign grades to a class of eight students?

Bill has four one-piece jump suits, six pairs of work pants, and seven work shirts. He either wears a jump suit, or pants and a shirt to work. How many different possible outfits does he have?

There are 14 different pizza toppings, and Arturo must rank his top 4 in order. How many different possible rankings are there? __________

The following problem refers to strings in A, B, ..., Z. How many three-letter strings are there that begin with M ? _________

(a) If you are having either soup or salad, how many choices do you have? ___9______ (b) If you are having both soup and salad, how many choices do you have? ___...

A league of 20 teams is playing a "round-robin" style tournament, where each team plays every other team exactly once. How many games total need to be played? _____ Justify your...