## Combinatorics

For students of class 9-10 (age 14-16)
famim2011
Posts: 24
Joined: Mon Dec 03, 2012 8:22 pm

### Combinatorics

When 6 indistinguishable fair coins are
thrown, how many different outcomes are there?

nafistiham
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Location: 24.758613,90.400161
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### Re: Combinatorics

As they are indistinguishable, it should be $6.$
$\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0$
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.

A.a.m
Posts: 16
Joined: Sun Jan 13, 2013 9:19 pm
Location: chittagong cantonment,chittagongnt

### Re: Combinatorics

I do agree

*Mahi*
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### Re: Combinatorics

nafistiham wrote:As they are indistinguishable, it should be $6.$
Check again, like when 2 indistinguishable fair coins are thrown, how many different outcomes are there? $3$, TT, HT, HH

Use $L^AT_EX$, It makes our work a lot easier!

Fahim Shahriar
Posts: 138
Joined: Sun Dec 18, 2011 12:53 pm

### Re: Combinatorics

Have a look.
.........

It's $7$. For $n$ indistinguishable fair coins, $(n+1)$ outcomes.
Name: Fahim Shahriar Shakkhor
Notre Dame College

nafistiham
Posts: 829
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### Re: Combinatorics

Fahim Shahriar wrote: It's $7$. For $n$ distinguishable fair coins, $(n+1)$ outcomes.
yes. You are right. So, is mahi.
now, someone edit that 'in'.
$\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0$
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.