Solve the following problems1. In how many ways can 9 passengers be seated in a bus if there are only 5 seats available?2. In how many ways can 5 different shirts be arranged in a cabinet?3. Five red marbles, two white marbles and three blue marbles are arranged in a row. If all themarbles of the same color are not distinguishable from each other, how many differentarrangements are possible?4. In how many ways can 4 boys and 4 girls be seated in a row ifa. they can seat anywhereb. the boys and the girls are to be seated alternately?5. Determine the number of distinct permutations that can be formed from the word PHILIPPINES.6. In how many ways can 5 precious stones be set around a gold bracelet?

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Similar questions

In how many ways 7 boys and 6 girls can be arranged on a bench if Anne and Jim sit together?
5. How many rectangles are on am x n-size "chessboard"? For example, there are nine rectangles on a 2 x 2-size board: The whole board, 4 smaller squares and 4 ways in which 2 squares make a rectangle. Check your answer by calculating the number of rectangles on a 3 x 3-size chess board.
7. A family consisting of 3 children and 10 adults have reserved a row of seats at a theater. The 3 children need to sit in the middle with 5 adults on either side. How many ways can the family seat themselves?
9. Find the number of different ways a grade A, B, C or D can be assigned to three students of a class so that no two students receive the same grade.
At a restaurant 48 people were asked in a survey if they eat meat, fish, or both. Of those adults 10 only eat meat, 14 only eat fish, and 17 eat both.How many people eat meat? How many do not eat meat? How many people eat fish? How many do not eat fish? How many do not eat either one?
In how many ways can Mrs. Smith give a chocolate bar, a bag of potato chips, and a can of cane juice to 3 of the 21 students in her class, one item per student?
. Suppose you are working on a ten-digit keypad to open a door. You know the combination is exactly three digits long.1. How many choices are there if you may use a number multiple times and the order matters?2. How many choices are there if you may not use a number multiple times and the order matters?3. How many choices are there if you may not use a number multiple times and the order doesnot matter?4. How many choices are there if you may use a number multiple times and the order does notmatter?
From a group of 10 boys and 6 girls a committee of 3 boys and 2 girls is to be selected. In how many ways can this be done?
An ice cream store has 25 flavors to select from. A customer walks in and orders a three-scoop ice cream cone. How many ways can the customer make this selection if... a. the flavors can be the same and the order is important? b. the flavors are different and the order is not important?
A bakery has 12 different fancy cakes. In how many ways can 6 of the 12 fancy cakes be lined up in a row in the bakery display case?
in how many ways can three classmates oliean, kagan, kelvin , and jet arrange themselves seated in a row of four chairs?

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