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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If someone owns: 7 pants 1 shirt 5 ties 7 jackets, how many different outfits can that person make?
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.
14. If there are 31 flavors of ice cream How many different ways can you choose 2 scoops if you can have 2 scoops of the same flavor? 15. If there are 31 flavors of ice cream How many different ways can you choose 2 scoops if each scoop has to be a different flavor? a
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.
If Kristine were to pull a marble from the jar below randomly, replace and pull another marble 75 times, how many times should she expect to pick a marble labeled with a number that is divisible by 5?numbers in jar:1,2,3,4,5,6,7,8,9,10,11,12,13,14,15
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?
A company sells regular hamburgers as well as a larger burger. Either type can include cheese, relish, lettuce, tomato, mustard, or ketchup. a. How many different hamburgers can be ordered with exactly 5 extras? b. How many different regular hamburgers can be made that use any 5 of the extras? c. How many different regular hamburgers can be ordered with at least 3 extras?
there are 18 people from the mathematics department and 325 people from the computer science department in a collegea. how many ways are there to get two representatives?so that one person is from the mathematics department and the other is from the computer science department?b. how many ways are there to get one elected representative, from a combination of the two majors?
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?

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