6. Twenty mathematics textbooks must be stacked in a row on a shelf. There are 5 identicalcalculus textbooks, 4 identical statistics textbooks, and 2 identical algebra textbooks.a) In how many ways can the textbooks be arranged on the shelf? [.b) In how many ways can you select at least one book? [* =

This is question of permutation and combination.Here we have to use of both Further calculation is…

Answered: 6. Twenty mathematics textbooks must be…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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6. A jar is to be filled with 100 jelly beans. There are five varieties of beans to choose from and we are required to use between 10 and 50 beans of each variety. How many different ways of filling the jar are there?
In how many ways can three dogs, four cats, four rabbits and two pigs be arranged in a row so that those of the same species sit together?
. Over the past year, John has purchased 30 books.(a) In how many ways can he pick four of these books and arrange them, in order, on hisnightstand bookshelf?(b) In how many ways can he choose four of these books to take with him on his vacationat the shore?
Suppose you are asked to arrange 10 books in a shelf. Three of them are Mathematics, 4 are English books, 2 are History books and the rest are Science books, assuming that books of the same subjects are identical. 1. How many arrangements are possible? 2. Show/draw at least 5 illustrations of these possible arrangements.
Last Super Bowl weekend, there were 109 pizzas ordered for the sophomore dorm. That weekend 32 customers ordered their pizza with just pepperoni, 40 ordered their pizza with just sausage, 18 ordered theirs with just onions, 13 ordered theirs with pepperoni and sausage, 10 ordered theirs with sausage and onions, 9 ordered theirs with pepperoni and onions, and 7 ordered theirs with all three items. (a) How many customers ordered their pizza with pepperoni or sausage (or both)? (b) How many customers ordered their pizza with sausage or onions (or both)? (c) How many customers ordered a pizza without pepperoni, sausage, or onions?
In how many ways can six medical technology students be seated in a round table if two of the six said students insist on sitting next to each other?
C. Answer each of the following. In how many ways can 6 persons be seated in a row? 2. In how many ways can 8 students occupy the 8 seats in a classroom?
4. When the merchants in the annual Math Department Parade lined up 4 abreast, there was 1 odd person, when they tried 5 in a line, there were 2 left over; and when 7 abreast, there were 3 left over. How large is the Department?
1. Once a month, a man puts some money in a cookie jar. During the 1st month he has P10.50 and each month he adds P0.50 more into the jar. How much money was placed in the jar during the last month of the 4th year?2. The seats in a theater are arranged so that there are 70 seats in the 1st row, 72 seats in the 2nd row and so on for 30 rows altogether. How many seats in all are there in the theater?
.When purchasing a ticket for the PowerBall lottery game a player chooses 5 distinct numbers between 1 and 69 (inclusive). The order in which the numbers are chosen does not matter. In addition, the player chooses one number between 1 and 26 (inclusive) to match the "powerball." How many different powerball tickets are possible?
6. A jar is to be filled with 100 jelly beans. There are five varieties of beans to choose fromn and we are required to use between 10 and 50 beans of each variety. How many different ways of filling the jar are there?
2. (a) A sack contains 50 marbles of 4 different colors. Explain why there are at least 13 marbles of the same color. (b) If exactly 8 of the marbles are red, explain why there are at least 14 of the same color.

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