Combinatorics
Posted: Sun Feb 03, 2013 11:00 am
When 6 indistinguishable fair coins are
thrown, how many different outcomes are there?
thrown, how many different outcomes are there?
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Re: Combinatorics
Posted: Sun Feb 03, 2013 11:14 am
As they are indistinguishable, it should be $6.$
Re: Combinatorics
Posted: Sun Feb 03, 2013 2:53 pm
I do agree
Re: Combinatorics
Posted: Sun Feb 03, 2013 9:18 pm
Check again, like when 2 indistinguishable fair coins are thrown, how many different outcomes are there? $3$, TT, HT, HHnafistiham wrote:As they are indistinguishable, it should be $6.$
Re: Combinatorics
Posted: Mon Feb 04, 2013 12:41 pm
Have a look.
6 Heads, No Tail
5 Heads, 1 Tail
4 Heads, 2 Tails
.........
No Head , 6 Tails
It's $7$. For $n$ indistinguishable fair coins, $(n+1)$ outcomes.
6 Heads, No Tail
5 Heads, 1 Tail
4 Heads, 2 Tails
.........
No Head , 6 Tails
It's $7$. For $n$ indistinguishable fair coins, $(n+1)$ outcomes.
Re: Combinatorics
Posted: Tue Feb 05, 2013 2:05 pm
yes. You are right. So, is mahi.Fahim Shahriar wrote: It's $7$. For $n$ distinguishable fair coins, $(n+1)$ outcomes.
now, someone edit that 'in'.