SOLUTION: A coin is tossed 10 times.How many different sequences containing six heads and four tails are possible?

Algebra ->  Permutations -> SOLUTION: A coin is tossed 10 times.How many different sequences containing six heads and four tails are possible?      Log On


   

Question 1160505: A coin is tossed 10 times.How many different sequences containing six heads and four tails are possible?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

There are  C%5B10%5D%5E6 such sequences.


You can select 6 positions among 10 positions by  C%5B10%5D%5E6 ways = %2810%2A9%2A8%2A7%29%2F%281%2A2%2A3%2A4%29 ways = 210 ways.    ANSWER

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

This problem is about 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.