SOLUTION: Ten identical coins are tossed. How many possible arrangements of the coins include five heads and five tails?

Algebra.Com
Question 1184996: Ten identical coins are tossed. How many possible arrangements of the coins include five heads and five tails?
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

     =  = 252 different possible arrangements are possible.    ANSWER

Solved.

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

This problem is on  COMBINATIONS.


On Combinations,  see introductory lessons
    - 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".


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

Use a diagram to list the sample space showing the possible arrangements of heads and... (answered by stanbon)
Five identical and unbiased coins are shaken. What is the probability of obtaining 3... (answered by sudhanshu_kmr,stanbon)
Five fair coins are tossed. Find the probability of obtaining 4 heads and 1... (answered by Nate,stanbon)
Seven coins are tossed. What is the probability of getting at least five... (answered by Fombitz)
.Three coins are tossed in succession. What is the probability of... (answered by stanbon)
Toss a coin five times and observe the sequence of heads or tails. In how many of the... (answered by rothauserc,math_helper,MathTherapy)
Three coins are tossed simultaneously. a. draw a tree diagram or list all possible... (answered by stanbon)
A class tossed coins and recorded 161 heads and 179 tails. what is the experimental... (answered by stanbon)
How many 7 card hands having exactly 3 Aces, 4 other cards can be dealt? Five... (answered by stanbon)