SOLUTION: A group of 8 ladies would like to arrange themselves for picture taking.In how many ways can they arranged themselves in a row if 1.no one is excluded 2.)only 5 can join in every

Algebra ->  Permutations -> SOLUTION: A group of 8 ladies would like to arrange themselves for picture taking.In how many ways can they arranged themselves in a row if 1.no one is excluded 2.)only 5 can join in every       Log On


   

Question 1088174: A group of 8 ladies would like to arrange themselves for picture taking.In how many ways can they arranged themselves in a row if 1.no one is excluded
2.)only 5 can join in every pose
Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.
Answer 

1.  8! = 8*7*6*5*4*3*2 = 40320.            8! permutations.


2.  C%5B8%5D%5E5 = %288%2A7%2A6%29%2F%281%2A2%2A3%29 = 56.                    C%5B8%5D%5E5 combinations.


On Combinations and Permutations see the lessons
    - Introduction to Permutations
    - PROOF of the formula on the number of Permutations
    - Problems on Permutations
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
    - OVERVIEW of lessons on Permutations and Combinations
in this site.

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

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