When 6 indistinguishable fair coins are
thrown, how many different outcomes are there?
Combinatorics
- nafistiham
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Re: Combinatorics
As they are indistinguishable, it should be $6.$
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
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Re: Combinatorics
I do agree
Re: Combinatorics
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 $6.$
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- Fahim Shahriar
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Re: Combinatorics
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.
Name: Fahim Shahriar Shakkhor
Notre Dame College
Notre Dame College
- nafistiham
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Re: Combinatorics
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'.
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
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