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...

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...

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 ( ___...

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...

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.)

what is the truth value of the following

I need to express my result as a polynomial, we were given formulas which states the answers however I cannot find the formulas for these last 2 A) C(n+2,n) C) C(C(n,k),(n¦(n-k)))...

Suppose that R is a ring of characteristic n. If addition and multiplication are defined in R x Zn = {(x, a)lx E R; a E Zn} by (x, a) + (y, b) = (x + y, a +n b), (x, a)(y, b)...

Hi I have 2 problems that I need to say whether or not they are true or not and then write a proof for my answer. I am really struggling and could use a little help thank you 1) ...

1. How many different positive integers can be made from the digits {2, 4, 6, 8} if repetitions are allowed? 2. What is the telescoping form of f(x) = x4 + 7x3 - x2 + 2x +...