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...

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...

Consider the following pseudocode function.function Crunch(x R) if x ≥ 100 then return x/100 else return...

The following figure consists of 7 horizontal lines and 15 vertical lines. The goal of this problem is to count the number of rectangles (squares are a kind of rectangle, but line segments are not)...

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

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 ? _________

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?

(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? ___...

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

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...

Prove that f is one-to-one. Let a, b is in R, and suppose that f(a) = f(b). Then 6a − 4 =___ so a =____.

Definition. An integer n is alphic if n = 4k + 1 for some integer k. Definition. An integer n is gammic if n = 4k + 3 for some integer k. Show that 19 is gammic. 19 = 4 ( ___...

128, 682, 121, 516, 601, 51, 49 The height of a binary search tree is the maximum number of edges you have to go through to reach the bottom of the tree, starting at the root. What is the height of...

(Enter your answer in set notation.)

In a class of 30 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. Seven hands go up. Then the professor asked...

Find an example of a set A and functions f :A→A and g:A→A such that f◦g=idA but g ◦ f does not equal idA. I am not sure what idA means or an example for this

what is the truth value of the following

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