What is the numberof permutations of the letters in the word BANANA?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 54SE: How many unique ways can a string of Christmas lights be arranged from 9 red, 10 green, 6 white, and...
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1. What is the number of permutations of the letters in the word BANANA?
2. In how many ways can 3 men and 4 women be seated on a bench if the women must be seated
together?
3. How many four (4) digit numbers can be formed without repeating any digit from the following
digits: 1, 2, 3, 4, and 6?
4. A Factory building has 8 entrance doors. In how many ways can a person enterand leave by any
door and by different door.
5. In how many ways can 4 boys and 4 girls be seated alternately in a row of eight chairs?
6. In how many ways can an IECEP chapter with 15 directors, choose a president, a vice president,
a secretary, a treasurer, and an Auditor, if no member can hold more than one position.
7. A PSME unit has 10 ME's, 8 PME's and 6 CPM. If a committee of 3 members, one from each
group is to be formed, how many such committees can be formed?
8. There are 5 main roads between cities A and B, and four between Band C. in how many ways
can a person drive from A to C and return, going through B on both trips without driving on the
same road twice?
9. The lotto uses numbers 1-42. A winning number consist of six different numbers in any order.
What are your chance of winning?
10. In a mathematics examination, a student may select 7 problems from a set of 10 problems. In
how may ways can he make his choice?
11. A coin is tossed 3 times. What is the probability of getting 3 tails up?
12. The probability of getting at least 2 heads when a pair of coin is tossed fourtimes is :
13. Roll a pair of fair dice one time. What is the probability that the sum of the two numbers is 2?
14. Find the median of the set of numbers; 2, 8, 33, 2, and 20.
15. What is the mode of the set of numbers; 2, 2, 8, 20, 33?
16. Given a set of 25 elements with Ex= 75 and Ex² = 350, find the mean and standard deviation
17. The arithmetic mean of 80 numbers is 55. If two numbers namely 250 and 850 are removed,
what is the arithmetic mean of the remaining numbers?
18. What is the range of {2,4,4,5,7,8}
19. The Arithmetic mean of 6 numbers is 17. If two numbers are added to the progression, the new
setof numbers will have an arithmetic mean of 19. What are the two numbers if their difference
is 4?
20. Given the following statistical data, determine the standard deviation;
(112
132
144
156
164
176
183
197)
Transcribed Image Text:1. What is the number of permutations of the letters in the word BANANA? 2. In how many ways can 3 men and 4 women be seated on a bench if the women must be seated together? 3. How many four (4) digit numbers can be formed without repeating any digit from the following digits: 1, 2, 3, 4, and 6? 4. A Factory building has 8 entrance doors. In how many ways can a person enterand leave by any door and by different door. 5. In how many ways can 4 boys and 4 girls be seated alternately in a row of eight chairs? 6. In how many ways can an IECEP chapter with 15 directors, choose a president, a vice president, a secretary, a treasurer, and an Auditor, if no member can hold more than one position. 7. A PSME unit has 10 ME's, 8 PME's and 6 CPM. If a committee of 3 members, one from each group is to be formed, how many such committees can be formed? 8. There are 5 main roads between cities A and B, and four between Band C. in how many ways can a person drive from A to C and return, going through B on both trips without driving on the same road twice? 9. The lotto uses numbers 1-42. A winning number consist of six different numbers in any order. What are your chance of winning? 10. In a mathematics examination, a student may select 7 problems from a set of 10 problems. In how may ways can he make his choice? 11. A coin is tossed 3 times. What is the probability of getting 3 tails up? 12. The probability of getting at least 2 heads when a pair of coin is tossed fourtimes is : 13. Roll a pair of fair dice one time. What is the probability that the sum of the two numbers is 2? 14. Find the median of the set of numbers; 2, 8, 33, 2, and 20. 15. What is the mode of the set of numbers; 2, 2, 8, 20, 33? 16. Given a set of 25 elements with Ex= 75 and Ex² = 350, find the mean and standard deviation 17. The arithmetic mean of 80 numbers is 55. If two numbers namely 250 and 850 are removed, what is the arithmetic mean of the remaining numbers? 18. What is the range of {2,4,4,5,7,8} 19. The Arithmetic mean of 6 numbers is 17. If two numbers are added to the progression, the new setof numbers will have an arithmetic mean of 19. What are the two numbers if their difference is 4? 20. Given the following statistical data, determine the standard deviation; (112 132 144 156 164 176 183 197)
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