SOLUTION: From a group of 9 different books, 5 books are selected and arranged on a shelf. How many arrangements are possible?

Algebra.Com
Question 1191508: From a group of 9 different books, 5 books are selected and arranged on a shelf. How many arrangements are possible?
Answer by ikleyn(52780)   (Show Source): You can put this solution on YOUR website!
.

ANSWER.             9*8*7*6*5 = 15120   different arrangements.


            The product of 5 consecutive integer numbers in the descending order, starting from 9.


Explanation

Any of 9 books in the first position.

Any of remaining 8 books in the next position.

   . . . and so on . . . 

Solved and explained.

-----------------

See the lesson
    - Special type permutations problems

in this site. Find there many solved similar problems.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic  "Combinatorics: Combinations and permutations".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.



RELATED QUESTIONS

three different language books, two different social science books and five mathematics... (answered by stanbon)
three different language books, two different social science books and five mathematics... (answered by stanbon)
Four different mathematics books, six different physics books, and two different... (answered by Edwin McCravy)
Three different statistics books, two different epidemiology books, and three different... (answered by greenestamps)
If three different statistics books,two different epidemiology books and three different... (answered by richwmiller)
Five different algebra textbooks, two different calculus textbooks, and four different... (answered by stanbon,math_helper)
How many different arrangements of four books on a shelf could you make from eight... (answered by Edwin McCravy)
There are 4 different mathematics books and 5 different science books in how many ways... (answered by ikleyn)
4 different math books, 6 different physics books and 2 different chemistry books are to... (answered by Susan-math)