2) A particular Algebra text has a total of 1382 pages which is broken into two parts. The second part of the book has 64 more pages than the first part. How many pages are in each part of the book.

Q: A math teacher wishes to split a class of thirty students into groups. All groups will work on the…

A: Given data: Total students  = 30 To find: In how many ways can the teacher assign students to the…

Q: How many ways can the letters of the word MAILBOX be arranged in a row if the letters ILB must…

A: Consider the word "MAILBOX" Given: "ILB"  must remain together (in order) To find: The number of…

Q: How many three-digit numbers can be formed of the digits 1, 2, 3, 4, 5, and 6 if each digit can only…

A: There are 6 numbers. The required three digit numbers can be formed using the numbers 1, 2, 3, 4, 5,…

Q: How many different teams of 4 can be chosen from a group of 15 children and 17 adults if each team…

A: According to provided data, there is total of 15 children (C) and 17 adults (A). Therefore, the…

Q: There are 2 copies each of 4 different books. In how many ways can they be arranged on a shelf?

A:

Q: Suppose a department contains 12 men and 15 women. How many ways are there to form a committee with…

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Q: Suppose a class consists of 4 students majoring in Mathematics, 3 students majoring in Islamic…

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Q: by three digits. The letters A, B, C, and D and the digits 6 and 9 will not be used. So, there are…

A:

Q: How many telephone numbers have no repeated digits?

A: Given, A telephone number consists of seven digits which is combination of {0,1,2,3,4,5,6,7,8,9}.

Q: How many ways are there to fly from City 1 to City 4 with one stop?

A: Here use given table for no of ways fly from city 1 to city 4

Q: How many four-digit numbers can be formed from the digits 0, 1, 2, 3, 4, and 5 if each digit can be…

A: given digits;  0, 1, 2, 3, 4, and 5 total number of digits = 6 number of four-digits numbers can be…

Q: A is two years old older than B who is twice as old as C. If the total of ages of A, B, & C be 27,…

A: Let the age of C  be x . Then B's age and A's age are 2x and x respectively.Then formulate an…

Q: Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee…

A:

Q: In a certain state, each automobile license plate number consists of two letters followed by a…

A: There are 24 choices for each letter. (this explanation was already shown in the image you shared)…

Q: If a men working 6hours a day can do a work in 88days, then 6men working 8hours a day can do it in…

A: Given that men working 6 hours a day can do work in 88 days

Q: There are ducks and pigs in a farm. Together, there are 35 heads and 100 legs. Assuming that each…

A: Simplification

Q: How many four-digit numbers can be formed from the digits 1, 3, 5, 7, 8, and 9 (a) if each digit…

A: We have to find total number of four-digit numbers :

Q: There are two copies each of 4 different books. In how many ways can they be arranged on a shelf?

A: GivenTwo copies each of 4 different booksTotal no.of books=2×4=8

Q: Only the last 3 sub parts are to be answered  iv, v and b

A:

Q: If it will be allowed to use a number repeatedly, how many 4-digit numbers can we form from the…

A: In this question we have to find how many four digit can be formed from the given numbers.

Q: Each student at State College has a student I.D. number consisting of 5 digits (the first digit is…

A: Given: Student ID consists of 5 digits and 3 letters. It means that total characters in student ID…

Q: Six math books, four physics books and three chemistry books are arranged on a shelf. How many…

A:

Q: How many outfits can be constructed with 1 shirt, 1 pants, and 1 tie from a wardrobe of 2 shirts, 5…

A: The given problem is based on combination {Because order doesn't matter}. The combination of…

Q: There are 7 Math books, 4 English books and 6 Filipino books on a shelf. How many ways can you…

A: Permutation: Permutation means finding a number of ways to arrange a specified number of distinct…

Q: In a certain class there are a total of 29 majors in mathematics, 21 majors in philosophy, and 7…

A:

Q: How many three-digit numbers can be formed from the digits 1, 2, 3, 5, and 6, if each digit can be…

A:

Q: A student has 4 different biology books, 4 different chemistry books, and 5 different physics books.…

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Q: The board of directors of a corporation must select a president, a secretary, and a treasurer. In…

A:

Q: An identification number consists of an ordered arrangement of 8 digits. How many identification…

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Q: assume that you are trying to transmit a secret code using 3 letter words. if only 5 letters of the…

A: Given only 5 letters of the alphabet can be usedNO.of alphabets =5No.of words should be in secret…

Q: A clerk at a bookstore is restocking a shelf of the best-selling novels. He has two copies each of…

A: Part 1: The total number permutations in which 6 books can be arranged is 6! Since there are three…

Q: A company buys 9 computers, and it plans to connect each pair of computers by a cable (one cable per…

A: Given that there are total 9 computers. They will connect each pair of computers. That means we have…

Q: Delegates from 10 countries, including Russia, France, England, and the United States, are to be…

A: Given  10 countries in total  4 of them are Russia, France, England, United States  We need to…

Q: How many three-digit numbers is there such that when the middle digit is removed they become a…

A: Let the three digit number be xyz. then on removing the middle digit, the two digit number will…

Q: If there are 5 ways to perform task A and 6 ways to perform task​ B, then how many ways are there…

A: Given information No of ways to do task A = 5 No of ways to do task B = 6

Q: Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee…

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Q: Enormous State University's Math Department offers two courses: Finite Math and Applied Calculus.…

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Q: How many different license plates are possible if 2 uppercase letters are followed by 4 digits and…

A: A number plate consist of 2 uppercase letters followed by 4 digits, in which first digit cannot be…

Q: the chairperson who must select a subcommittee but assume that the committee consists of 11 people…

A: There are total 11 people including the chairperson. 1 chairperson is to be selected at first. The…

Q: Suppose that Jeremy is a highschool science teacher and that he is dividing 16 students in his…

A: Given problem Given that   Suppose that Jeremy is a high school science teacher. He is dividing 16…

Q: A phone number consists of ten numbers.  If the first digit cannot be 0, how many possible numbers…

A: Let m choices to be made with n1 options for the 1st choice, n2 options for the 2nd choice, … , nm…

Q: Suppose that we have 10 numbered blocks, 2 RED, 3 BLUE, 4 GREEN, and one WHITE.  How many ways can…

A:

Q: If you have six books, but there is room for only four books on the shelf, in how many ways can you…

A: From the given information, n=6 and r=4.

Q: The board of an Internet startup company has thirteen members. If one person is to be in charge of…

A: To find: How many ways can the two positions filled.

Q: bookshelf has space for exactly 12 books. In how many ways can the books be arranged on the…

A:

Q: How many committees of 4 can be made from a group of 20 republicans and 15 democrats if at least 1…

A: Since we need at least 1 republican and at least 1 democrat in the committee. So we pick 1 of each…

Q: How many 5 letter "words" can be formed if exactly 2 of the letters are vowels if order is…

A: There are 5 vowels and 21 consonants. Here, the order is important.

Q: 8. Each bag to be loaded onto a plane weighs either 12, 18, or 22 pounds. If the plane is carrying…

A: The weight of the lightest bag is 12 pounds   Lighter the weight of the bad more the number of bags…

Q: many even four-digit numbers can be formed from the digits 0, 1, 2, 5, 6, and 9 if each digit can be…

A:

Q: The board of directors of a corporation must select a president, a secretary, and a treasurer. In…

A: