Discrete Mathematics Answers

Translate the given statements into propositional logic using the propositions provided

You can graduate only if you have completed the requirements of your major and you do not owe money to the

university and you do not have an overdue library book. Express your answer in terms of g: “You can graduate,” m: “You

owe money to the university,” r: “You have completed the requirements of your major,” and b: “You have an overdue

library book.”

Translate the given statements into propositional logic using the propositions provided

You can see the movie only if you are over 18 years old or you have the permission of a parent. Express your answer in

terms of m: “You can see the movie,” e: “You are over 18 years old,” and p: “You have the permission of a parent.”

You cannot edit a protected Wikipedia entry unless you are an administrator. Express your answer in terms of e:“You can edit a protected Wikipedia entry” and a: “You are an administrator.”

Determine the cofficent of X⁵Y¹⁰Z⁵W⁵ in (x-7y+3z-25)²⁵

A children watches TV at least one hours each days for seven weeks but never more than 11 hours in any week. prove that there is some period of consecutive days during in wich the children watches exactly 20 hours Of tv (if is assumed that the children watches Tv for a whole number of hours each days ?

A student has three mangos two papayas and two kiwifruits .if the student eats one piece of fruit each day and only the type of fruits matters ,in how many different ways can these fruits be consumed ?

How many outcomes are obtained from rollings n indistinguishable dice ?

How many strings of length n can be formed from the English alphabet ?

In how many ways can a committee of 5 teachers and 4 students be chosen from 9 teachers and 15 students ?