1. In how many ways it is possible for 15 students to arrange themselves among 15 seats in the front row of auditorium ?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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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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This is all about probability in statistics and probability. Factorial formula is n!= n x (n-1) x (n-2) x... x 1 Permutations
In this example, we usé sho
3 from the highest given and multiply it. We can use it when there are large number in given.
Ten students are to be chosen from a class of 30 and lined up for photograph. How many such photographs can be
taken?
P(30,10)
9.
= 109, 027, 350, 432, 000
= 30 x 29 x 28 x 27 x 26 x 25 x 24 x 23 x 22 x 21
Evaluation:
Copy the questions on a yellow paper and write your complete solution. Find what is needed in every problem.
1. In how many ways it is possible for 15 students to arrange themselves among 15 seats in the front row of auditorium ?
2. There are 8 dogs in a race. How many possible outcomes can there be?
3. Using the set { r, e, g, i, y}, how many arrangements are possible?
4. There are 17 marksmen in Mobile Legends, how many arrangements these heroes can have?
5. If you have 8 subjects this semester, how many ways can you arrange this subjects to finish your module?
6. There are 10 candidates in a job. The committee will choose top four of them, how many possible outcomes there is?
7. There are 8 horses in a race. If we are concerned with the top three finishers, how many different finishes are probable?
8. There are 7 volleyball players, in how many ways can we choosel setter and 1 libero?
9. There are four academic tracks in Senior High School
10. There are 26 Mage heroes in ML. If you choose you have 5-man all Mage heroes, how many possible outcomes can you
how many ways can we choose the top 2?
pick top 5?
11. In how many ways can you arrange 5 Statistics Book in a shelf?
12. In how many ways can you choose a president, vice president and a secretary for a club from 19 candidates, if each
candidate is eligible for each position, but no candidate can hold 2 positions.
13. You have been asked to judge an art contest with 9 entries. In how many ways can you assignlst, 2nd, 3rd and 4t" place?
14. 8 students are to be chosen from a class of 31 and lined up for photograph. How many such photographs can be taken?
15. Note, do a research regarding this question. If there are 5 people who will sit around a circular table, how many ways they
can be seated?
Reflection:
In what way can you related this module's topic in your daily life?
Prepared By:
Noted By:
Transcribed Image Text:In this example, we usé sho 3 from the highest given and multiply it. We can use it when there are large number in given. Ten students are to be chosen from a class of 30 and lined up for photograph. How many such photographs can be taken? P(30,10) 9. = 109, 027, 350, 432, 000 = 30 x 29 x 28 x 27 x 26 x 25 x 24 x 23 x 22 x 21 Evaluation: Copy the questions on a yellow paper and write your complete solution. Find what is needed in every problem. 1. In how many ways it is possible for 15 students to arrange themselves among 15 seats in the front row of auditorium ? 2. There are 8 dogs in a race. How many possible outcomes can there be? 3. Using the set { r, e, g, i, y}, how many arrangements are possible? 4. There are 17 marksmen in Mobile Legends, how many arrangements these heroes can have? 5. If you have 8 subjects this semester, how many ways can you arrange this subjects to finish your module? 6. There are 10 candidates in a job. The committee will choose top four of them, how many possible outcomes there is? 7. There are 8 horses in a race. If we are concerned with the top three finishers, how many different finishes are probable? 8. There are 7 volleyball players, in how many ways can we choosel setter and 1 libero? 9. There are four academic tracks in Senior High School 10. There are 26 Mage heroes in ML. If you choose you have 5-man all Mage heroes, how many possible outcomes can you how many ways can we choose the top 2? pick top 5? 11. In how many ways can you arrange 5 Statistics Book in a shelf? 12. In how many ways can you choose a president, vice president and a secretary for a club from 19 candidates, if each candidate is eligible for each position, but no candidate can hold 2 positions. 13. You have been asked to judge an art contest with 9 entries. In how many ways can you assignlst, 2nd, 3rd and 4t" place? 14. 8 students are to be chosen from a class of 31 and lined up for photograph. How many such photographs can be taken? 15. Note, do a research regarding this question. If there are 5 people who will sit around a circular table, how many ways they can be seated? Reflection: In what way can you related this module's topic in your daily life? Prepared By: Noted By:
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